Explanation Definition used: “The product of two fractions is a fraction whose numerator is the product of the numerators and denominator is the product of the denominators of the given fractions.” Calculation: The given expression is 3 a x 2 − 9 a x 10 x 2 + 5 x × 2 x 2 + x a 2 x − 3 a 2 . Factor the numerator and the denominator of the above expression as follows. 3 a x 2 − 9 a x 10 x 2 + 5 x × 2 x 2 + x a 2 x − 3 a 2 = ( 3 ) ( a ) ( x ) ( x − 3 ) ( 5 ) ( x ) ( 2 x + 1 ) × x ( 2 x + 1 ) ( a ) ( a ) ( x − 3 ) Here, the common factors are a , x − 3 and 2 x + 1 , so cancel out these factors to simplify the expression. 3 a x 2 − 9 a x 10 x 2 + 5 x × 2 x 2 + x a 2 x − 3 a 2 = ( 3 ) ( a ) ( x ) ( x − 3

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Chapter 6.5, Problem 19E

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To simplify: The expression 3ax2−9ax10x2+5x×2x2+xa2x−3a2 that involving multiplication.

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Chapter 6.5, Problem 18E

Chapter 6.5, Problem 20E

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Chapter 6 Solutions

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Ch. 6.1 - Prob. 1PE Ch. 6.1 - Prob. 2PE Ch. 6.1 - Prob. 3PE Ch. 6.1 - Prob. 4PE Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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The expression 3 a x 2 − 9 a x 10 x 2 + 5 x × 2 x 2 + x a 2 x − 3 a 2 that involving multiplication.

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