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(x+2)(x+7)

(x+2)(x+7) (x+2)(x+7)

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Full solution

Q. (x+2)(x+7) (x+2)(x+7)
  1. Apply Distributive Property: Apply the distributive property, also known as the FOIL method, to multiply the first terms, the outer terms, the inner terms, and the last terms of the binomials.\newline(x+2)(x+7)=x×x+x×7+2×x+2×7(x+2)(x+7) = x\times x + x\times 7 + 2\times x + 2\times 7
  2. Perform Multiplication: Perform the multiplication for each pair of terms.\newlinex×x+x×7+2×x+2×7=x2+7x+2x+14x\times x + x\times 7 + 2\times x + 2\times 7 = x^2 + 7x + 2x + 14
  3. Combine Like Terms: Combine like terms 7x7x and 2x2x.x2+7x+2x+14=x2+(7x+2x)+14x^2 + 7x + 2x + 14 = x^2 + (7x + 2x) + 14
  4. Add Like Terms: Add the like terms.\newlinex2+(7x+2x)+14=x2+9x+14x^2 + (7x + 2x) + 14 = x^2 + 9x + 14

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