Question

20 (y square - 7Y - 30) / 5 (Y + 3)​

Answer 1

Step-by-step explanation:

y/5. -2.............

Answer 2

Answer:

4y - 40

Step-by-step explanation:

Given : ${\sf{\ \ {\dfrac{20(y^2 - 7y - 30)}{5(y + 3)}} }}$

Doing the possible cancelling.

→ ${\sf{ {\dfrac{4 \ {\cancel{20}} (y^2 - 7y - 30)}{{\cancel{5}} (y + 3)}} }}$

→ ${\sf{ {\dfrac{4(y^2 - 7y - 30)}{(y + 3)}}}}$

Using Middle Term Factorisation.

→${\sf{{\dfrac{4(y^2 - 10y + 3y - 30)}{(y + 3)}}}}$

Taking out common terms, we get

→ ${\sf{ {\dfrac{4 [y(y - 10) + 3(y - 10)]}{(y + 3)}}}}$

→ ${\sf{{\dfrac{4(y + 3)(y - 10)}{(y + 3)}}}}$

→ ${\sf{{\dfrac{4 {\cancel{(y + 3)}} (y - 10)}{{\cancel{(y + 3)}}}}}}$

→ ${\sf{4(y - 10)}}$

→ ${\sf{4(y) - 4(10)}}$

→ ${\boxed{\sf{\red{4y - 40}}}}$