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Popular >

factor a^2b^2-c^2

Solution

factor

a^{2} b^{2} - c^{2}

Solution

(ab + c) (ab - c)

Solution steps

a^{2} b^{2} - c^{2}

Apply exponent rule:

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

a^{2} b^{2} = (ab)^{2}

= (ab)^{2} - c^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(ab)^{2} - c^{2} = (ab + c) (ab - c)

= (ab + c) (ab - c)

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Frequently Asked Questions (FAQ)

What is factor a^2b^2-c^2 ?
The solution to factor a^2b^2-c^2 is (ab+c)(ab-c)