Question

factorise 9q^2 - 25p^2

Answer 1

GIVEN :

Factorise the polynomial $9q^2-25p^2$

TO FIND :

The factors of the given polynomial.

SOLUTION :

Given polynomial is $9q^2-25p^2$

Now we have to factorise the given polynomial as below :

$9q^2-25p^2$

$=3^2q^2-5^2p^2$

$=(3q)^2-(5p)^2$

By using the power rule of exponent property :

$a^mb^m=(ab)^m$

$=(3q+5p)(3q-5p)$

By using the algebraic identity :

$a^2-b^2=(a+b)(a-b)$

Here a = 3q and b = 5p

$9q^2-25p^2=(3q+5p)(3q-5p)$

∴ the given polynomial $9q^2-25p^2$ is factorised into (3q+5p)(3q-5p)

⇒ $9q^2-25p^2=(3q+5p)(3q-5p)$

Answer 2

Answer:

I hope it helps you dear good morning