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Popular >

simplify (3-2x)^2(4-x)^2

Solution

simplify

(3 - 2 x)^{2} (4 - x)^{2}

Solution

(- x + 4)^{2} (- 2 x + 3)^{2}

Solution steps

(3 - 2 x)^{2} (4 - x)^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

(- 2 x + 3)^{2} (- x + 4)^{2} = ((- 2 x + 3) (- x + 4))^{2}

= ((- 2 x + 3) (- x + 4))^{2}

Apply exponent rule:

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

= (- 2 x + 3)^{2} (- x + 4)^{2}

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Frequently Asked Questions (FAQ)

What is (3-2x)^2(4-x)^2 ?
The solution to (3-2x)^2(4-x)^2 is (-x+4)^2(-2x+3)^2