Question

4a2 - 9b2
please mention all the steps and the identity used. ​

Answer 1

Answer:

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Answer 2

factorise 4a^2-9b^2 by a suitable alegbraic identity.

=>Solution:

$4 {a}^{2} - 9 {b}^{2}$

This can also be written as :-

${(2a)}^{2} - {(3b)}^{2} (i)$

We know the identity:-

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

We can see that ( i ) fits in this identity.

So here :-

$a = 2a$

and,

$b = 3b$

So substituting these values of a and b in that identity, we get:-

${(2a)}^{2} - {(3b)}^{2} =( 2a + 3b)(2a - 3b)$