Question

Simplify q4 + 11q3 − (2q2 − 5)(–3q)

Answer 1

The given expression is

`q^4+11q^3-(2q^2-5)(-3q)`

We will start with the Multiplication

`(-3q)(2q^2-5)`

We will multiply each term in the bracket by -3q

`(-3q)(2q^2)+(-3q)(-5)`

We will multiply the numbers and add the power of q

`(-3*2)(q^(1+2))=-6q^3`
`(-3*-5)(q)=15q`

Then the expression is

`q^4+11q^3-(-6q^3+15q)`

Now multiply the sign (-) by the bracket

`q^4+11q^3+6q^3-15q`

Add the like terms (terms of q^3

`q^4+(11q^3+6q^3)-15q=q^4+17q^3-15q`