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Popular >

expand (x^2-25)^2

Solution

expand

(x^{2} - 25)^{2}

Solution

x^{4} - 50 x^{2} + 625

Solution steps

(x^{2} - 25)^{2}

Apply Perfect Square Formula:

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

(x^{2} - 25)^{2} = (x^{2})^{2} - 2 x^{2} \cdot 25 + 2 5^{2}

= (x^{2})^{2} - 2 x^{2} \cdot 25 + 2 5^{2}

Simplify

(x^{2})^{2} - 2 x^{2} \cdot 25 + 2 5^{2} : x^{4} - 50 x^{2} + 625

= x^{4} - 50 x^{2} + 625

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Frequently Asked Questions (FAQ)

What is expand (x^2-25)^2 ?
The solution to expand (x^2-25)^2 is x^4-50x^2+625