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Mathematics

Multiply :

23\dfrac{2}{3} ab by - 14\dfrac{1}{4} a2b

Algebraic Expressions

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Answer

23ab×(14a2b)=2×13×4a1+2b1+1=212a3b2=16a3b2\dfrac{2}{3}ab \times \Big(-\dfrac{1}{4}a^2b\Big)\\[1em] = -\dfrac{2 \times 1}{3 \times 4}a^{1+2}b^{1+1}\\[1em] = -\dfrac{2}{12}a^3b^2\\[1em] = -\dfrac{1}{6}a^3b^2

Hence, 23\dfrac{2}{3} ab x (- 14\dfrac{1}{4} a2b) = 16-\dfrac{1}{6}a3b2.

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