Question

What is the simplified form of the quantity 15 x y squared over x squared plus 5x plus 6 all over the quantity 5 x squared y over 2x squared plus 7x plus 3? (1 point) Group of answer choices 3y times the quantity 2x plus 1 over x times the quantity x plus 2 x times the quantity x plus 2 over 3y times the quantity 2x plus 1 x times the quantity x minus 2 over 3y times the quantity 2x minus 1 3y times the quantity 2x minus 1 over x times the quantity x minus 2

Answer 1

The simplifed form is :A 3y(2x+1)/ x(x+2) 3y times the quantity 2x plus 1 over x times the quantity x plus 2.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

15xy²/(x² + 5x +6) ÷ ((5x²y/(2x²+7x+3))

We can factorize expressions;

x² + 5x +6 = (x+2)(x+3)

2x²+7x+3  =(2x+1)(x+3)

Therefore we have;

15xy²/(x+2)(x+3) ÷ (5x²y/(2x+1)(x+3))

we can multiply with the reciprocal;

15xy²/(x+2)(x+3) × ((2x+1)(x+3))/5x²y

By Simplifying;

3y/(x+2) × (2x+1)/x

We get; 3y(2x+1)/ x(x+2)

= 3y(2x+1)/ x(x+2)

The answer is :A 3y(2x+1)/ x(x+2) 3y times the quantity 2x plus 1 over x times the quantity x plus 2.

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