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

The solution to expand (4a^2-a+5)^2 is 16a^4-8a^3+41a^2-10a+25

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

expand

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

16 a^{4} - 8 a^{3} + 41 a^{2} - 10 a + 25

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(4 a^{2} - a + 5)^{2} = (4 a^{2} - a + 5) (4 a^{2} - a + 5)

= (4 a^{2} - a + 5) (4 a^{2} - a + 5)

Distribute parentheses

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

Simplify

4 a^{2} \cdot 4 a^{2} + 4 a^{2} (- a) + 4 a^{2} \cdot 5 - a \cdot 4 a^{2} - a (- a) - a \cdot 5 + 5 \cdot 4 a^{2} + 5 (- a) + 5 \cdot 5 : 16 a^{4} - 8 a^{3} + 41 a^{2} - 10 a + 25

= 16 a^{4} - 8 a^{3} + 41 a^{2} - 10 a + 25

(8 + b)^{3}

18 \frac{2}{5} - 6 \frac{1}{5}

\frac{8}{72}

(1 - 2 b)^{3}

(\frac{1}{x}) (\frac{1}{x ^{2}})

What is expand (4a^2-a+5)^2 ?
The solution to expand (4a^2-a+5)^2 is 16a^4-8a^3+41a^2-10a+25