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Popular >

simplify (2+3k)^2*(2-3k)^2

Solution

simplify

(2 + 3 k)^{2} \cdot (2 - 3 k)^{2}

Solution

(3 k + 2)^{2} (- 3 k + 2)^{2}

Solution steps

(2 + 3 k)^{2} (2 - 3 k)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(3 k + 2)^{2} (- 3 k + 2)^{2} = ((3 k + 2) (- 3 k + 2))^{2}

= ((3 k + 2) (- 3 k + 2))^{2}

Apply exponent rule:

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

= (3 k + 2)^{2} (- 3 k + 2)^{2}

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Frequently Asked Questions (FAQ)

What is (2+3k)^2*(2-3k)^2 ?
The solution to (2+3k)^2*(2-3k)^2 is (3k+2)^2(-3k+2)^2