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Question

Divide (m2-14m-32) by (m+2)


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Solution

Step 1: Factorize (m2-14m-32)

=m216m+2m32 ( splitting the middle term )

=m(m16)+2(m16) (taking common)

=(m16)(m+2)

Step 2: Divide (m2-14m-32) by (m+2)

=m214m32(m+2)

=(m16)(m+2)(m+2) ( substituting with the factors )

=(m16)

Hence, on dividing (m2-14m-32) by (m+2), we get (m16).


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