Final answer to the problem
$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-x^{4}-10x^{3}-25x^{2}$
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Step-by-step Solution
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1
Expand the expression $\left(x^2+5x+5\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-\left(x^{4}+10x^{3}+25x^{2}\right)$
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$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-\left(x^{4}+10x^{3}+25x^{2}\right)$
Learn how to solve equations problems step by step online. Solve the equation a=(x+1)(x+3)(x+2)(x+4)-(x^2+5x+5)^2. Expand the expression \left(x^2+5x+5\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Simplify the product -(x^{4}+10x^{3}+25x^{2}). Simplify the product -(10x^{3}+25x^{2}).
Final answer to the problem
$a=\left(x+1\right)\left(x+3\right)\left(x+2\right)\left(x+4\right)-x^{4}-10x^{3}-25x^{2}$
