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Expand. Your answer should be a polynomial in standard form. (x+3)(x-5)=

Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+3)(x−5)=(x+3)(x-5)=

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Full solution

Q. Expand.\newlineYour answer should be a polynomial in standard form.\newline(x+3)(x−5)=(x+3)(x-5)=
  1. Multiply First terms: Multiply the First terms: x×x=x2x \times x = x^2.
  2. Multiply Outer terms: Multiply the Outer terms: x⋅(−5)=−5xx \cdot (-5) = -5x.
  3. Multiply Inner terms: Multiply the Inner terms: 3×x=3x3 \times x = 3x.
  4. Multiply Last terms: Multiply the Last terms: 3×(−5)=−153 \times (-5) = -15.
  5. Combine all the products: Combine all the products: x2−5x+3x−15x^2 - 5x + 3x - 15.
  6. Combine like terms: Combine like terms: −5x-5x and 3x3x add up to −2x-2x.\newlineSo, the expression becomes x2−2x−15x^2 - 2x - 15.

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