Question

desenvolva : (x³-5x)²=

Answer 1

$(a-b)^{2}=a^{2}-2ab+b^{2}$
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$(x^{3}-5x)^{2}=(x^{3})^{2}-2\cdot x^{3}\cdot5x+(5x)^{2}\\(x^{3}-5x)^{2}=x^{3\cdot2}-10x^{3+1}+5^{2}x^{2}\\(x^{3}-5x)^{2}=x^{6}-10x^{4}+25x^{2}\\\\\\\boxed{\boxed{(x^{3}-5x)^{2}=x^{6}-10x^{4}+25x^{2}}}$