What is (x+2)^2(10x^2+24x+7)^2 ?

The solution to (x+2)^2(10x^2+24x+7)^2 is (x+2)^2(10x^2+24x+7)^2

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simplify (x+2)^2(10x^2+24x+7)^2

simplify

(x + 2)^{2} (10 x^{2} + 24 x + 7)^{2}

(x + 2)^{2} (10 x^{2} + 24 x + 7)^{2}

Solution steps

(x + 2)^{2} (10 x^{2} + 24 x + 7)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(x + 2)^{2} (10 x^{2} + 24 x + 7)^{2} = ((x + 2) (10 x^{2} + 24 x + 7))^{2}

= ((x + 2) (10 x^{2} + 24 x + 7))^{2}

Apply exponent rule:

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

= (x + 2)^{2} (10 x^{2} + 24 x + 7)^{2}

((x - 5)^{\frac{3}{2}})^{\frac{2}{3}}

7 x^{2} y^{2}

What is (x+2)^2(10x^2+24x+7)^2 ?
The solution to (x+2)^2(10x^2+24x+7)^2 is (x+2)^2(10x^2+24x+7)^2