1.

Simplify \(\frac{81x^4-16x^2+32x-16}{9x^2-4x+4}\)A) 9x2 – 2x – 8 B) 9x2 + 2x – 8 C) 9x2 – 4x – 4 D) 9x2 + 4x – 4

Answer»

Correct option is (D) 9x2 + 4x – 4

\(\frac{81x^4 -16x^2 +32x-16}{9x^2-4x+4}\) \(=\frac{81x^4-(16x^2-32x+16)}{9x^2-4x+4}\)

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

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

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

\(=9x^2+4x-4\)

Correct option is D) 9x2 + 4x – 4



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