Question

(4a^2-4ab-15b^2)/(2a-5b) please send answer for this

Answer 1

(2a+3b)X(2a-5b)^2
Hope you got it.

Answer 2

Answer:

$\frac{(4a^2-4ab-15b^2)}{(2a-5b)}=2a+3b$        

Step-by-step explanation:

Given : Expression $\frac{(4a^2-4ab-15b^2)}{(2a-5b)}$

To find : Solve the expression ?

Solution :

Expression $\frac{(4a^2-4ab-15b^2)}{(2a-5b)}$

We can factor,

$4a^2-4ab-15b^2$

Applying middle term split,

$4a^2-10ab+6ab-15b^2$

$2a(2a-5b)+3b(2a-3b)$

$(2a-5b)(2a+3b)$

Substitute back in expression,

$=\frac{(2a-5b)(2a+3b)}{(2a-5b)}$

Cancel like term from numerator and denominator,

$=2a+3b$

Therefore, $\frac{(4a^2-4ab-15b^2)}{(2a-5b)}=2a+3b$