Question

Multiply. Write the expression in standard form. x²(2x+9)

Answer 1

To multiply x²(2x+9), distribute x² to both 2x and 9, resulting in 2x³ + 9x² as the standard form.

Step-by-step explanation:

To multiply the expression x²(2x+9), you distribute the x² across the terms inside the parentheses. This uses the distributive property of multiplication over addition, which tells us to multiply each term inside the parentheses by the term outside.

The steps are as follows:

1. Multiply x² by 2x, which gives us 2x³.
2. Multiply x² by 9, which gives us 9x².

Combining these, the expression in standard form is 2x³ + 9x².