# Factor completely each polynomial, and indicate any that are not

Factor completely each polynomial, and indicate any that are not factorable using integers. ${a}^{2}x+{b}^{2}x+{a}^{2}y+{b}^{2}y$
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Step 1: To Find
We have to factorize the polynomial ${a}^{2}x+{b}^{2}x+{a}^{2}y+{b}^{2}y$
Step 2: Calculation
${a}^{2}x+{b}^{2}x+{a}^{2}y+{b}^{2}y=\left({a}^{2}+{b}^{2}\right)x+\left({a}^{2}+{b}^{2}\right)y$
${a}^{2}x+{b}^{2}x+{a}^{2}y+{b}^{2}y=\left({a}^{2}+{b}^{2}\right)\left(x+y\right)$