Given the expression, x2−9x2−5x+6, which of the following is completely simplified?

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sukljama2 · Accepted Answer

Step 1  Given,   The expression  x2−9x2−5x+6  We have to simplify the expression.   Step 2  We have   x2−9x2−5x+6  ⇒x2−32x2−3x−2x+6   (done factorization)  ⇒(x+3)(x−3)x(x−3)−2(x−3)   (using a2−b2=(a+b)(a−b))  ⇒(x+3)(x−3)(x−3)(x−2)  ⇒(x+3)(x−2)    (cancelled (x−3) from the numerator and denominator)  So,  x2−9x2−5x+6=(x+3)(x−2)

Given the expression, x2−9x2−5x+6, which of the following is completely simplified?

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