Problem of the Week

Updated at May 29, 2023 1:54 PM

To get more practice in algebra, we brought you this problem of the week:

How can we factor q2−14q+49{q}^{2}-14q+49?

Check out the solution below!



q2−14q+49{q}^{2}-14q+49

1
Rewrite it in the form a2−2ab+b2{a}^{2}-2ab+{b}^{2}, where a=qa=q and b=7b=7.
q2−2(q)(7)+72{q}^{2}-2(q)(7)+{7}^{2}

2
Use Square of Difference: (a−b)2=a2−2ab+b2{(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.
(q−7)2{(q-7)}^{2}

Done
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