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

(x-2)(x-6)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x2)(x6)=(x-2)(x-6)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x2)(x6)=(x-2)(x-6)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x2)(x6)(x-2)(x-6).\newlineFirst, multiply the first terms in each binomial: x×x=x2x \times x = x^2.\newlineNext, multiply the outer terms: x×(6)=6xx \times (-6) = -6x.\newlineThen, multiply the inner terms: (2)×x=2x(-2) \times x = -2x.\newlineFinally, multiply the last terms: (2)×(6)=12(-2) \times (-6) = 12.
  2. Multiply first terms: Combine like terms from the results of the multiplication.\newlineWe have x2x^2 from the first terms, 6x-6x and 2x-2x from the outer and inner terms, and 1212 from the last terms.\newlineCombine 6x-6x and 2x-2x to get 8x-8x.\newlineSo, the expression becomes x28x+12x^2 - 8x + 12.

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