Chapter R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set: 10

$(ab+12)^2$

Work Step by Step

Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $a^2b^2+24ab+144,$ has $c$ equal to $144$ and $b$ equal to $24 .$ The two numbers that give a product of $c$ and a sum of $b$ are $\{ 12,12 \}.$ Hence, the factored form of the expression above is \begin{array}{l}\require{cancel} (ab+12)(ab+12) \\\\= (ab+12)^2 .\end{array}

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