Final answer to the problem
$x^{8}+8x^{7}+28x^{6}+56x^{5}+70x^{4}+56x^{3}+28x^2+8x+1$
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Step-by-step Solution
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- Product of Binomials with Common Term
- FOIL Method
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1
Expand the binomial $\left(x^2+2x+1\right)^4$
$x^{8}+4x^{6}\left(2x+1\right)+6x^{4}\left(2x+1\right)^2+4x^2\left(2x+1\right)^3+\left(2x+1\right)^4$
Learn how to solve definite integrals problems step by step online.
$x^{8}+4x^{6}\left(2x+1\right)+6x^{4}\left(2x+1\right)^2+4x^2\left(2x+1\right)^3+\left(2x+1\right)^4$
Learn how to solve definite integrals problems step by step online. Expand the expression (x^2+2x+1)^4. Expand the binomial \left(x^2+2x+1\right)^4. Expand the binomial \left(2x+1\right)^4. The power of a product is equal to the product of it's factors raised to the same power. Multiply the single term 4x^{6} by each term of the polynomial \left(2x+1\right).
Final answer to the problem
$x^{8}+8x^{7}+28x^{6}+56x^{5}+70x^{4}+56x^{3}+28x^2+8x+1$