Solve: 9(a-b)^2-100(x-y)^2 - Vidyadip

Question

Solve:
$ 9(a-b)^2-100(x-y)^2 $

✓

Answer

$ 9(a-b)^2-100(x-y)^2 $
$ =[3(a-b)]^2-[10(x-y)]^2 $
$= [3(a - b) - 10(x - y)][3(a - b) + 10(x - y)]$
$= (3a - 3b - 10x + 10y)(3a - 3b + 10x - 10)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Factorization→Factorization — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

64 is a square number $\left(8^2\right)$ and a cube number $\left(4^3\right)$. Are there other numbers that are both squares and cubes? Is there a way to describe such numbers in general?

Write down the number of edges of the following figures: Tetrahedron.

If the cost price of $12$ pens is equal to the selling price of $16$ pens, find the loss percent.

By what numbers should we multiply $\frac{-15}{20}$ so that the product may be $\frac{-5}{7}?$

The second class railway fare for $240\ km$ of Journey is $Rs.15.00$. What would be the fare for a journey of $139.2\ km?$

Divide$x+2 x^2+3 x^4-x^5$ by $2 x$

Find the square root of $729$.

Write a pythagorean triplet whose smallest member is: $14$

Convert each part of the ratio to percentage:$1: 4$

Find the continues products:
$ (3 x-2 y)(3 x+2 y)\left(9 x^2+4 y^2\right)$