Lacara19viz
Answered

your classmate multiplied rational algebraic expressions as presented below. x+3/2 · 2/x+3 = x+3/2 · x+3/2 = x²+6x+9/4 . Is your classmate ' s solution correct ?

A.Yes. there is a need to get the reciprocal of the second factor .
B. yes. the product obtained after multiplying the expressions is correct
C. no. getting the reciprocal is not applicable in multiplying rational expressios
D. No.the product obtained after multiplying the rational algebraic expressions is wrong .

Sagot :

Nyle07viz

For me, the answer is D. No, the product obtained after multiplying the rational algebraic expressions is wrong.

Explanation:

When you multiply x+3/2 · 2/x+3, the answer is not x+3/2.

Solution:

x+3/2 · 2/x+3

  • Multiply x+3/2 times 2/x+3 by multiplying numerator times numerator and denominator times denominator.

x+3 (2) / (2) x+3

  • Cancel out 2 (x + 3) in both numerator and denominator.

- Therefore the product of x+3/2 · 2/x+3 is 1.

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