The product of x2 - 4/3-x and additive inverse of x2 - 9/2 + x is �

1.	The product of x2 - 4/3-x and additive inverse of x2 - 9/2 + x is ………………A) x2 + x – 6 B) x2 – x – 6C) x2 – 5x + 6 D) x2 + 5x + 6
Answer» Correct option is (A) x² + x – 6 Additive inverse of \(\frac{x^2-9}{2+x}\) is \(\frac{9-x^2}{2+x}.\) \(\therefore\) Product \(=(\frac{x^2-4}{3-x})(\frac{9-x^2}{2+x})\) \(=\frac{(x-2)(x+2)(3-x)(3+x)}{(3-x)(2+x)}\) = (x-2) (x+3) \(=x^2-2x+3x-6\) \(=x^2+x-6\) Correct option is A) x² + x – 6

The product of x2 - 4/3-x and additive inverse of x2 - 9/2 + x is ………………A) x2 + x – 6 B) x2 – x – 6C) x2 – 5x + 6 D) x2 + 5x + 6

Answer»

Correct option is (A) x² + x – 6

Additive inverse of \(\frac{x^2-9}{2+x}\) is \(\frac{9-x^2}{2+x}.\)

\(\therefore\) Product \(=(\frac{x^2-4}{3-x})(\frac{9-x^2}{2+x})\)

\(=\frac{(x-2)(x+2)(3-x)(3+x)}{(3-x)(2+x)}\)

= (x-2) (x+3)

\(=x^2-2x+3x-6\)

\(=x^2+x-6\)

Correct option is A) x² + x – 6