Question

please give fast thank you

Answer 1

Answer:

The answer is (b) 9y² + 72y + 144

Step-by-step explanation:

To divide :-

15(y + 3)(y² - 16) by 5(y² - y - 12)

=> [15(y + 3)(y + 4)(y - 4)] ÷ [5(y² - 4y + 3y - 12)]

=>  [15(y + 3)(y + 4)(y - 4)] ÷ [5{y (y -4) + 3  (y - 4)}]

=> $\Large \text { \frac{15(y + 3)(y + 4)(y - 4)}{5{y (y - 4) + 3(y - 4)}} }$

=> $\Large \text { \frac{15(y + 3)(y + 4)(y - 4)}{5{(y-4)(y+3)}} }$

=> 3(y + 4)

-    -   -   -   -    -    -    -    -   -   -   -    -    -    -    -   -   -   -    -    -    -    -   -   -   -  

To multiply by 3(y + 4) :-

=> [3(y + 4)] × [3(y + 4)]

=> [3 (y + 4)]²

=> 3³(y² + 16 + 8y)    . . . .  . . . . . . . [(a + b)² = a² + b² + 2ab]

=> 9(y² + 16 + 8y)

= 9y² + 72y + 144