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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

\frac{15 x ^{2} - 234 x + 135}{15 - x}

\frac{8}{5} \cdot \frac{5}{8}

\frac{3}{y - 2} - \frac{2}{2 - y}

\frac{13}{7} + \frac{3}{2}

\frac{7}{4} + \frac{5}{32}

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