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

(4-7y)(7+4y)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(47y)(7+4y)=(4-7y)(7+4y)=

Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(47y)(7+4y)=(4-7y)(7+4y)=
  1. Apply distributive property: Apply the distributive property to expand the expression (47y)(7+4y)(4-7y)(7+4y).\newlineWe will multiply each term in the first parenthesis by each term in the second parenthesis.
  2. Multiply first term by each term: Multiply the first term in the first parenthesis by each term in the second parenthesis.\newline4×7=284 \times 7 = 28\newline4×4y=16y4 \times 4y = 16y\newlineSo we have 28+16y28 + 16y.
  3. Multiply second term by each term: Multiply the second term in the first parenthesis by each term in the second parenthesis.\newline7y×7=49y-7y \times 7 = -49y\newline7y×4y=28y2-7y \times 4y = -28y^2\newlineSo we have 49y28y2-49y - 28y^2.
  4. Combine results from Step 22 and Step 33: Combine the results from Step 22 and Step 33.\newlineWe have 28+16y49y28y228 + 16y - 49y - 28y^2.
  5. Combine like terms: Combine like terms.\newline16y49y=33y16y - 49y = -33y\newlineSo we have 2833y28y228 - 33y - 28y^2.
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