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

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

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

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

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

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

\frac{2 x + 7}{x - 6} + \frac{2}{6 - x}

(- 9 ab - 11 a) + (- 9 a - 3 ab)

\frac{8}{8 + x}

\frac{13 + 12 i}{1 + 5 i}

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