Students and Teachers Forum

we have formula for a2 - b2 = (a + b)(a - b) we can use this formula for solving the problem of factorization example, Q.    9x2 - 1 soln, 9x2 - 1 = (3x)2 - 12     this is on the form of a2 - .....

Full moon is the moon when you can see it completely.  In the following figure you can see the full .....

soln, {( 4x2 + 3y2 - 2z2 ) + ( 7x2 - 3y2 - 3z2 )} - {( 3x2 + 4y2 - 3z2 ) +( 2z2 – 3x2 + 2y2  )} = (4x2 + 7x2 + 3y2 - 3y2 - 2z2- 3z2 ) - (3x2  – 3x2+ 4y2 + 2y2- 3z2 +  2z2) now , calculate .....

soln,   8 ) 6 5 6 ( 8 2      - 6 4 -------------        0 1 6         - 1 6 ----------------            0 .....

You can write this as " घरको सरसफाइ .....

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x ( x + 2 ) = x2 + .....

Do you know,   simple interest ( I ) = PTR / 100 USE  this formula to calculate simple .....

No. of sides (n) = 6 Exterior angle ( α  ) =  360 ° n                               = 360 ° 6                 .....

Given, the length of rectangle( l) = 55 cm the breadth of rectangle (b) = 35.2 cm Area of rectangle (A ) = ? we know that, Area of rectangle (A ) = l * .....

When volcano comes it effect air and cause air pollution amd due to flow of lava it burns everything through which its .....

soln,        1 0 0  ˟     1 0 0 ---------------         0 0 0      0 0 0 +1 0 0 ----------------    1 0 0 0 .....

Do you know, perimeter means the sum of lenght of all side of any figure so, perimeter of 9cm , 3cm,11 cm and 6cm  = 9cm + 3cm + 11cm + 6cm  = 29 .....

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Steam is is the part of plant that helps in the upward transport of water.Water absorbed by the roots move up the stem and reaches the .....

To convert percentage into fraction. You have to divida number by 100. For example: 40% = 40/100 = 4 / 10 = 2 / 5 Hence, you can do the question .....

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soln, =(7.87 - 12.09) × (-3.44) =(-4.22) × (-3.44) =14.5168          Note:as you know - x - = + .so, - sign is cancel .....

its descending order is 601, 576, 567, 389, 365, .....

Measurement is the comparison of an unknown standard quantity .....

here, 70 + 5 = 75  we have to add 0 and 5, here 0 and 5 are onces place digit value so we can add this 0 + 5 = 5, but there is no tenth place value in 5 there is only one tenths place  value in .....

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soln, (5a+4b)² = (5a)2 + 2.5a.4b + (4b)2 = 25a2 + 40ab + .....

the cost of 4 eggs = rs 36 the cost of 1 eggs = rs 36/4 = rs 8 the cost of 6 eggs = rs 8 * 6 = rs 40 hence, the cost of 6 eggs is rs .....

My father is a teacher and he teach in school. What about your .....

Ratio of 25 cm and 40 cm = 25 : 40                                             = 2 5 / 40             .....

soln ,     [(4x + 2y -z ) + ( x-y + 6z ) ] - ( 2x -3y + 5z ) = [4x + x + 2y -y -z + 6 z ] - 2x + 3y - 5z = 5x + y + 5z - 2x + 3y - 5z = 3x .....

Do you know,  1000ml = 1 liter then 330250ml = (330250/1000) liter                          =330.25 .....

Do  you know % = 1 / 100 so, 75 % = 75 * 1/100               = 75 .....

soln, (a + b)(a + b)(a + b) = [a(a + b) + b(a + b)](a + b) = [a2 + ab + ab + b2 ](a + b) = (a2 + 2ab + b2 )(a + b) = a(a2 + 2ab + b2 ) + b(a2 + 2ab + b2 ) = a3 + 2a2b + ab2 + a2b + 2ab2 + b3 = a3 + 3a2b + 3ab2  + .....

The four work which you can do in day time: 1. Gardening 2. Studying 3. Playing with the friends in ground. 4. Eating lunch. .....

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soln, no. of coin for rs.100 = rs. 100 / rs. 5 = rs. 20 hence required no. of coin is rs. .....

Let, 'x' and 'y' be the present age of his father and his son respectively  then, x = y + 25 ......(i) Again, x - 5 = 6(y - 5) or ,x - 5 = 6y - 30 or, y + 25 -5 = 6y - 30   [ from (i)] or, 20 + 30 = 6y - y or, 50 = .....

soln,     7 7 7 7 7 7 7 7 7 7 7                +  2 3 4 5 6 7 -------------------------------     7 7 7 7 8 0 1 2 3 4 .....

Given,  Area of circle = 616 cm2 or,  πr2 = 616  or, (22/7) r2 = 616 or, r2 = (616 * 7)/22 = 4312/22 = 196 or, r2 = 196 or , r = √196 = 14 cm now, diameter , d = 2r = 2 * 14 cm = 28 cm Hence, diameter of given circle is 28 .....

Given, h = 10cm p =5cm b = ? Here, If p, b & h are the sides of right-angled triangle and h be the hypotenuse, then the relation is given by      h2 = p2 + b2.       [ By Pythagoras .....

Here, 12 flowers are planted in each row and column of a square. So, the required number of flowers is square of 12.  ∴ Required flower = 122                           .....

When steam is passedd through red hot coke then, mixture of carbon monoxide(CO) and Hydrogen(H2) gas will be produced.This gas is called water gas The reaction is shown below:  C ( Red hot coke ) + H2O ( Steam ) →  CO + .....

Let 'x' be it's breadth(b), then , length (l) = 2b = 2x and given , perimeter of rectangle (P) = 90m now, we have  p = 2(l+b) or, 90 = 2(2x + x) or, 90 = 6x or, 90/6 = x or, 15 = x i) Length = 2x = 2 * 15 = 30m and breadth = x = .....

Charles Babbage is the father of .....

2 x 7 = 14  , use the table you will get .....

soln, 3 pipes can fill a cistern = 90 min 1 pipe can fill a  cistern = 90min / 3 = 30 min 5 pipes can fill a cistern = 30min * 5 = 150 min = 2 hours 30 min Hence, 5 pipes take 2 hours 30 min ( or  150 min ) to fill the .....

Given, P = rs 10000 T = 9 month = 9/12 years =3/4 years R = 10% I= ? And ,  A = ? we know that   simple interest (I) = .....

Steam is is the part of plant that helps in the upward transport of water.Water absorbed by the roots move up the stem and reaches the .....

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Given, cp = rs 7200 and p % = 15 % i ) soln, profit amount (P) = cp * p % = 7200 * 15% =7200 * 15 /100 = 72 * 15 = 1080 hence, profit amount , p = rs 1080 ii) soln, we have, profit, p = sp - cp or , sp = p + cp = 1080 + 7200 = 8280 hence .....

soln  L.H.S = (a+b)2 =(a+b).(a+b) =a(a+b) + b(a+b) =a2+ab + ba + b2 =a2+2ab+b2 =R.H.S .....