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Which property of multiplication is shown?\newlinef⋅g+f⋅h=f⋅(g+h)f \cdot g + f \cdot h = f \cdot (g + h)\newlineChoices:\newline(A) identity\newline(B) distributive\newline(C) associative\newline(D) commutative

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Q. Which property of multiplication is shown?\newlinef⋅g+f⋅h=f⋅(g+h)f \cdot g + f \cdot h = f \cdot (g + h)\newlineChoices:\newline(A) identity\newline(B) distributive\newline(C) associative\newline(D) commutative
  1. Identify Property: Identify the property that allows factoring out a common factor from two terms.\newlineReasoning: We see ff is common in both terms on the left side, so we factor it out.\newlineCalculation: f⋅g+f⋅h=f⋅(g+h)f \cdot g + f \cdot h = f \cdot (g + h)
  2. Apply Property: Compare the equation with the properties of multiplication.\newlineReasoning: The distributive property states a(b+c)=ab+aca(b + c) = ab + ac, which matches our equation if we replace aa with ff, bb with gg, and cc with hh.\newlineCalculation: f(g+h)=fg+fhf(g + h) = fg + fh

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