What is (x^2+7x-2)^2(x-1)^2 ?

The solution to (x^2+7x-2)^2(x-1)^2 is (x-1)^2(x^2+7x-2)^2

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simplify (x^2+7x-2)^2(x-1)^2

simplify

(x^{2} + 7 x - 2)^{2} (x - 1)^{2}

(x - 1)^{2} (x^{2} + 7 x - 2)^{2}

Solution steps

(x^{2} + 7 x - 2)^{2} (x - 1)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(x^{2} + 7 x - 2)^{2} (x - 1)^{2} = ((x^{2} + 7 x - 2) (x - 1))^{2}

= ((x^{2} + 7 x - 2) (x - 1))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= (x^{2} + 7 x - 2)^{2} (x - 1)^{2}

6 a^{3} (3 a^{2})

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e^{5 x} \cdot e^{x}

What is (x^2+7x-2)^2(x-1)^2 ?
The solution to (x^2+7x-2)^2(x-1)^2 is (x-1)^2(x^2+7x-2)^2