Question

Factorize 225a²- 169b²​

Answer 1

Answer:

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$225 {a}^{2} - 169 {b}^{2} = {(15a)}^{2} - {(13b)}^{2} = (15a + 13b) (15a - 13b)$

Answer 2

Step-by-step explanation:

Given :-

Given expression is 225a² - 169b²

To find:-

Factorize 225a²- 169b²

Solution:-

Given expression is 225a² - 169b²

we know that 225 = 15²

and 169 = 13²

So given expression can be written as

=>15²a² - 13²b²

we know that a^m×b^m = (ab)^m

=>(15a)² - (13b)²

It is in the form of x²-y²

Where, x = 15a

and y=13b

We know that x²-y²=(x+y)(x-y)

(15a)² - (13b)²

=>(15a+13b)(15a-13b)

Answer:-

Factorization of 225a²- 169b² is

(15a+13b)(15a-13b)

Used Identity:-

• x²-y²=(x+y)(x-y)

Used formula:-

• a^m×b^m = (ab)^m