Question

Fill in the blanks to make the equation true. (x−9)(x+2)=x^2________ −18

Answer 1

`\large\boxed{-7x}`

Explanation:

Use FOIL:

(a + b)(c + d) = ac + ad + bc + bd

`(x-9)(x+2)=(x)(x)+(x)(2)+(-9)(x)+(-9)(2)=x^2+2x-9x-18`

combine like terms

`=x^2+(2x-9x)-18=x^2-7x-18`

Answer 2

x² - 7x - 18

Explanation:

Remember to follow FOIL.

First, multiply the first. (x)(x) = x²

Next, multiply the second. (x)(2) = 2x

Then, multiply the third. (-9)(x) = -9x

Finally, multiply the last. (-9)(2) = -18

Combine like terms: x² + 2x - 9x - 18

x² - 7x - 18

x² - 7x - 18 is your answer.

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