What is expand (4a+5b^2)^2 ?

The solution to expand (4a+5b^2)^2 is 16a^2+40ab^2+25b^4

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expand (4a+5b^2)^2

expand

(4 a + 5 b^{2})^{2}

16 a^{2} + 40 a b^{2} + 25 b^{4}

Solution steps

(4 a + 5 b^{2})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 16 a^{2} + 40 a b^{2} + 25 b^{4}

9 \times \frac{2}{3}

\frac{4 x ^{2}}{2 x ^{\frac{1}{2}}}

\frac{36}{40}

- \frac{1}{4} \cdot (- 4)

\frac{1}{s} + \frac{1}{s ^{2}}

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