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

The solution to expand (4a^2-a+2)^2 is 16a^4-8a^3+17a^2-4a+4

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

expand

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

16 a^{4} - 8 a^{3} + 17 a^{2} - 4 a + 4

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

4 a^{2} \cdot 4 a^{2} + 4 a^{2} (- a) + 4 a^{2} \cdot 2 - a \cdot 4 a^{2} - a (- a) - a \cdot 2 + 2 \cdot 4 a^{2} + 2 (- a) + 2 \cdot 2 : 16 a^{4} - 8 a^{3} + 17 a^{2} - 4 a + 4

= 16 a^{4} - 8 a^{3} + 17 a^{2} - 4 a + 4

(3^{4}) (3^{5})

3 a + 2 b - 8 a + b

- \frac{240}{2 ( - 2 )}

5 (x + 1)^{2}

\frac{9}{33}

What is expand (4a^2-a+2)^2 ?
The solution to expand (4a^2-a+2)^2 is 16a^4-8a^3+17a^2-4a+4