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Popular >

expand (5x^2+4)^2

Solution

expand

(5 x^{2} + 4)^{2}

Solution

25 x^{4} + 40 x^{2} + 16

Solution steps

(5 x^{2} + 4)^{2}

Apply Perfect Square Formula:

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

(5 x^{2} + 4)^{2} = (5 x^{2})^{2} + 2 \cdot 5 x^{2} \cdot 4 + 4^{2}

= (5 x^{2})^{2} + 2 \cdot 5 x^{2} \cdot 4 + 4^{2}

Simplify

(5 x^{2})^{2} + 2 \cdot 5 x^{2} \cdot 4 + 4^{2} : 25 x^{4} + 40 x^{2} + 16

= 25 x^{4} + 40 x^{2} + 16

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Frequently Asked Questions (FAQ)

What is expand (5x^2+4)^2 ?
The solution to expand (5x^2+4)^2 is 25x^4+40x^2+16