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

(x-5)(x-4)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x5)(x4)=(x-5)(x-4)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x5)(x4)=(x-5)(x-4)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x5)(x4)(x-5)(x-4).\newlineFirst, 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(4)=4xx \cdot (-4) = -4x.
  3. Multiply outer terms: Multiply the inner terms in the binomials: (5)×x=5x(-5) \times x = -5x.
  4. Multiply inner terms: Multiply the last terms in each binomial: (5)×(4)=20(-5) \times (-4) = 20.
  5. Multiply last terms: Combine the like terms from the previous steps to write the polynomial in standard form.\newlineThe like terms are 4x-4x and 5x-5x.\newlineSo, x24x5x+20x^2 - 4x - 5x + 20 simplifies to x29x+20x^2 - 9x + 20.

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