Question

3x²(5x³ + 6x - 2) multiply and what is the sum

Answer 1

`15x^5+18x^3-6x^2`

Here, we want to open up the bracket. We simply multiply each of the term in the bracket by the term outside the bracket.

A key information here is that;

`\begin{gathered} x^2\text{ }* x^3=x^(2+3)=x^5 \\ \text{and not x}^(2*3)=x^6 \end{gathered}`

We proceed as follows;

`\begin{gathered} 3x^2(5^{}x^3\text{ + 6x - 2)} \\ \\ =15x^5+18x^3-6x^2 \end{gathered}`