Final answer to the problem
$x^{17}-x^{14}a^{3}-8x^{11}a^{6}-8x^{8}a^{9}-x^{15}a^{2}-x^{12}a^{5}+3x^{9}a^{8}+5x^{6}a^{11}+5x^{13}a^{4}+3x^{10}a^{7}-a^{10}x^{7}-a^{13}x^{4}+2x^{16}a-x^{5}a^{12}+2a^{14}x^{3}+a^{15}x^{2}$
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Step-by-step Solution
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1
Expand $\left(x^2-a^2\right)^2$
$\left(x^{4}-2x^2a^2+a^{4}\right)\left(x^3+a^3\right)^3\left(x^2+ax+a^2\right)^2$
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$\left(x^{4}-2x^2a^2+a^{4}\right)\left(x^3+a^3\right)^3\left(x^2+ax+a^2\right)^2$
Learn how to solve problems step by step online. Expand the expression (x^2-a^2)^2(x^3+a^3)^3(x^2+axa^2)^2. Expand \left(x^2-a^2\right)^2. Expand the expression \left(x^2+ax+a^2\right)^2 using the square of a binomial. Take the square of the first term: x^2. Twice (2) the product of the two terms: x^2 and ax.
Final answer to the problem
$x^{17}-x^{14}a^{3}-8x^{11}a^{6}-8x^{8}a^{9}-x^{15}a^{2}-x^{12}a^{5}+3x^{9}a^{8}+5x^{6}a^{11}+5x^{13}a^{4}+3x^{10}a^{7}-a^{10}x^{7}-a^{13}x^{4}+2x^{16}a-x^{5}a^{12}+2a^{14}x^{3}+a^{15}x^{2}$