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Popular >

expand (2ab+5)^2

Solution

expand

(2 ab + 5)^{2}

Solution

4 a^{2} b^{2} + 20 ab + 25

Solution steps

(2 ab + 5)^{2}

Apply Perfect Square Formula:

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

(2 ab + 5)^{2} = (2 ab)^{2} + 2 \cdot 2 ab \cdot 5 + 5^{2}

= (2 ab)^{2} + 2 \cdot 2 ab \cdot 5 + 5^{2}

Simplify

(2 ab)^{2} + 2 \cdot 2 ab \cdot 5 + 5^{2} : 4 a^{2} b^{2} + 20 ab + 25

= 4 a^{2} b^{2} + 20 ab + 25

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Frequently Asked Questions (FAQ)

What is expand (2ab+5)^2 ?
The solution to expand (2ab+5)^2 is 4a^2b^2+20ab+25