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

(x+4)(x+6)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+4)(x+6)=(x+4)(x+6)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+4)(x+6)=(x+4)(x+6)=
  1. Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x+4)(x+6)(x+4)(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: 4×x=4x4 \times x = 4x.\newlineFinally, multiply the last terms: 4×6=244 \times 6 = 24.
  2. Combine like terms: Combine like terms from the results of the FOIL method.\newlineWe have x2x^2 from the first terms, 6x6x and 4x4x from the outer and inner terms, and 2424 from the last terms.\newlineCombine 6x6x and 4x4x to get 10x10x.\newlineSo, the expression becomes x2+10x+24x^2 + 10x + 24.
  3. Write in standard form: Write the final answer in standard form, which is a polynomial arranged in descending order of degree.\newlineThe expression x2+10x+24x^2 + 10x + 24 is already in standard form.

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