Question

Simplify: a(3+5a)-4(a2+5)

Answer 1

Answer:

$\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20$

Step-by-step explanation:

We want to simplify the expression:

$a( 3 + 5a) - 4(a^2 +5)$

Distribute:

$\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)$

Rearrange:

$\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)$

Combine like terms:

$\displaystyle = a^2 + 3a -20$

In conclusion:

$\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20$