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Popular >

simplify (x^2+1)^3(2x+1)^3

Solution

simplify

(x^{2} + 1)^{3} (2 x + 1)^{3}

Solution

(2 x + 1)^{3} (x^{2} + 1)^{3}

Solution steps

(x^{2} + 1)^{3} (2 x + 1)^{3}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(x^{2} + 1)^{3} (2 x + 1)^{3} = ((x^{2} + 1) (2 x + 1))^{3}

= ((x^{2} + 1) (2 x + 1))^{3}

Apply exponent rule:

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

= (x^{2} + 1)^{3} (2 x + 1)^{3}

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Frequently Asked Questions (FAQ)

What is (x^2+1)^3(2x+1)^3 ?
The solution to (x^2+1)^3(2x+1)^3 is (2x+1)^3(x^2+1)^3