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

(x-7)(x-3)=

Expand. \newlineYour answer should be a polynomial in standard form.\newline(x7)(x3)=(x-7)(x-3)=

Full solution

Q. Expand. \newlineYour answer should be a polynomial in standard form.\newline(x7)(x3)=(x-7)(x-3)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x7)(x3)(x-7)(x-3).\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(3)=3xx \cdot (-3) = -3x.
  3. Multiply outer terms: Multiply the inner terms in the binomials: (7)×x=7x(-7) \times x = -7x.
  4. Multiply inner terms: Multiply the last terms in each binomial: (7)×(3)=21(-7) \times (-3) = 21.
  5. Multiply last terms: Combine the like terms from the multiplication to write the polynomial in standard form.\newlineThe like terms are 3x-3x and 7x-7x.\newline3x7x=10x-3x - 7x = -10x.\newlineSo, the expanded form is x210x+21x^2 - 10x + 21.

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