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

(x+2)(x+5)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+2)(x+5)=(x+2)(x+5)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+2)(x+5)=(x+2)(x+5)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+2)(x+5)(x+2)(x+5).\newlineFirst, multiply the first terms in each binomial: x×x=x2x \times x = x^2.\newlineNext, multiply the outer terms: x×5=5xx \times 5 = 5x.\newlineThen, multiply the inner terms: 2×x=2x2 \times x = 2x.\newlineFinally, multiply the last terms: 2×5=102 \times 5 = 10.
  2. Combine like terms: Combine like terms from the results of the distributive property.\newlineWe have x2x^2 from the first terms, 5x5x and 2x2x from the outer and inner terms, and 1010 from the last terms.\newlineCombine 5x5x and 2x2x to get 7x7x.\newlineSo, the expression becomes x2+7x+10x^2 + 7x + 10.
  3. Write in standard form: Write the polynomial in standard form.\newlineThe standard form for a polynomial is to write the terms in descending order of their exponents.\newlineThe expression x2+7x+10x^2 + 7x + 10 is already in standard form.

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