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Expand.
Your answer should be a polynomial in standard form.

(x-9)(x+2)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x9)(x+2)=(x-9)(x+2)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x9)(x+2)=(x-9)(x+2)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x9)(x+2)(x-9)(x+2).\newlineFirst, multiply the first terms in each binomial: x×x=x2x \times x = x^2.\newlineNext, multiply the outer terms: x×2=2xx \times 2 = 2x.\newlineThen, multiply the inner terms: 9×x=9x-9 \times x = -9x.\newlineFinally, multiply the last terms: 9×2=18-9 \times 2 = -18.
  2. Combine like terms: Combine the like terms from the expansion.\newlineWe have x2x^2 from the first terms, 2x2x and 9x-9x from the outer and inner terms, and 18-18 from the last terms.\newlineCombine 2x2x and 9x-9x to get 7x-7x.\newlineSo, the expression becomes x27x18x^2 - 7x - 18.
  3. Write final answer in standard form: Write the final answer in standard form, which is a polynomial arranged in descending order of degree.\newlineThe standard form of the expanded polynomial is x27x18x^2 - 7x - 18.

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