Multiply.
x, squared, left bracket, minus, 9, x, squared, plus, 7, x, plus, 2, right bracket
x
2
(−9x
2
+7x+2)
To multiply the expression (x^2 - 9x^2 + 7x + 2) by x, you distribute x to each term inside the parentheses:
x * (x^2 - 9x^2 + 7x + 2) = x^3 - 9x^3 + 7x^2 + 2x
To multiply x^2(-9x^2 + 7x + 2), we need to distribute the x^2 to each term inside the parentheses. Here are the steps:
1. Start with the expression x^2(-9x^2 + 7x + 2).
2. Distribute x^2 to each term inside the parentheses.
- Step 1: x^2 * -9x^2 = -9x^4
- Step 2: x^2 * 7x = 7x^3
- Step 3: x^2 * 2 = 2x^2
3. Combine the like terms from the steps above.
- The final expression is -9x^4 + 7x^3 + 2x^2.
To multiply the expression (x^2 - 9x^2 + 7x + 2) by x^2, you need to distribute x^2 to each term inside the bracket.
So we multiply each term by x^2:
(x^2) * (x^2 - 9x^2 + 7x + 2)
= (x^2 * x^2) + (x^2 * -9x^2) + (x^2 * 7x) + (x^2 * 2)
To simplify each term:
(x^4) + (-9x^4) + (7x^3) + (2x^2)
Now we can combine like terms:
(x^4 - 9x^4) + 7x^3 + 2x^2
Simplifying further:
-8x^4 + 7x^3 + 2x^2
So, the multiplication of (x^2 - 9x^2 + 7x + 2) by x^2 is -8x^4 + 7x^3 + 2x^2.