Question

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

Answer 1

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

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`