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Kazuya incorrectly simplified the expression 4x^2-9y^2/14x^2+21xy as 2x+3y/7x, where x ≠ 0. Describe his error(s) and correctly simplify the expression.

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hayat098

Answer:

The correct simplification of the expression is as follows:

(4x^2 - 9y^2) / (14x^2 + 21xy)

= [(2x)^2 - (3y)^2] / [7x(2x + 3y)]

= [(2x + 3y)(2x - 3y)] / [7x(2x + 3y)]

= (2x - 3y) / 7x

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