What is expand (5a^2-a+3)^2 ?

The solution to expand (5a^2-a+3)^2 is 25a^4-10a^3+31a^2-6a+9

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expand (5a^2-a+3)^2

expand

(5 a^{2} - a + 3)^{2}

25 a^{4} - 10 a^{3} + 31 a^{2} - 6 a + 9

Solution steps

(5 a^{2} - a + 3)^{2}

Apply exponent rule:

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

(5 a^{2} - a + 3)^{2} = (5 a^{2} - a + 3) (5 a^{2} - a + 3)

= (5 a^{2} - a + 3) (5 a^{2} - a + 3)

Distribute parentheses

= 5 a^{2} \cdot 5 a^{2} + 5 a^{2} (- a) + 5 a^{2} \cdot 3 - a \cdot 5 a^{2} - a (- a) - a \cdot 3 + 3 \cdot 5 a^{2} + 3 (- a) + 3 \cdot 3

Simplify

5 a^{2} \cdot 5 a^{2} + 5 a^{2} (- a) + 5 a^{2} \cdot 3 - a \cdot 5 a^{2} - a (- a) - a \cdot 3 + 3 \cdot 5 a^{2} + 3 (- a) + 3 \cdot 3 : 25 a^{4} - 10 a^{3} + 31 a^{2} - 6 a + 9

= 25 a^{4} - 10 a^{3} + 31 a^{2} - 6 a + 9

(- 2) (- 3) (- 4) (- 5) (- 6)

- 5 x^{2} + 100 x + 4000

(2)^{8}

\frac{59}{10}

100 a^{4} - 60 a^{2} b + 9 b^{2}

What is expand (5a^2-a+3)^2 ?
The solution to expand (5a^2-a+3)^2 is 25a^4-10a^3+31a^2-6a+9