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

(x-2)(x-1)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x2)(x1)=(x-2)(x-1)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x2)(x1)=(x-2)(x-1)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to expand the expression (x2)(x1)(x-2)(x-1). First, multiply the first terms in each binomial: x×x=x2x \times x = x^2.
  2. Multiply first terms: Multiply the outer terms in the binomials: x×(1)=xx \times (-1) = -x.
  3. Multiply outer terms: Multiply the inner terms in the binomials: (2)×x=2x(-2) \times x = -2x.
  4. Multiply inner terms: Multiply the last terms in each binomial: (2)×(1)=2(-2) \times (-1) = 2.
  5. Multiply last terms: Combine the like terms from steps 22 and 33: x+(2x)=3x-x + (-2x) = -3x.
  6. Combine like terms: Add up all the terms from steps 11, 55, and 44 to get the polynomial in standard form: x23x+2x^2 - 3x + 2.

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