Factor the polynomial $\left(13y^7+y\right)$ by it's greatest common factor (GCF): $y$
$\left(y\left(13y^{6}+1\right)\right)^2$
2
The power of a product is equal to the product of it's factors raised to the same power
$y^2\left(13y^{6}+1\right)^2$
Final answer to the problem
$y^2\left(13y^{6}+1\right)^2$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.