Final answer to the problem
Step-by-step Solution
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Expand the trinomial using the formula $\left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc$
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$\left(x-1\right)\left(x^{4}+\left(-4x\right)^2+25-8x^2x+10x^2-40x\right)$
Learn how to solve special products problems step by step online. Expand the expression (x-1)(x^2-4x+5)^2. Expand the trinomial using the formula \left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. When multiplying exponents with same base you can add the exponents: -8x^2x. Multiply the single term x^{4}+\left(-4x\right)^2+25-8x^{3}+10x^2-40x by each term of the polynomial \left(x-1\right). Multiply the single term x by each term of the polynomial \left(x^{4}+\left(-4x\right)^2+25-8x^{3}+10x^2-40x\right).