Question

factorize using suitable identities
25a3b-36ab3



Please solve it's urgent​

Answer 1

Answer:

25a³b-36ab³

5²a³b-4²ab³

ab(5²a²-4²b²)

ab{(5a)²-(4b)²}

By a²-b²=(a-b)(a+b)

ab{(5a+4b)(5a-4b)}

Answer 2

Answer:

Given equation is factorized as $ab(5a+6b)(5a-6b)$.

Step-by-step explanation:

It is given that $25a^{3} b-36ab^{3}$

Simplifying

$ab(25a^{2} -36b^{2} )$

$=ab(5^{2} a^{2} -6^{2} b^{2})$

We know that

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

Using this, we get

$=ab(5a+6b)(5a-6b)$

Hence, given equation is factorized as $ab(5a+6b)(5a-6b)$.

#SPJ2