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

The solution to expand (3a^2-a+3)^2 is 9a^4-6a^3+19a^2-6a+9

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

expand

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

9 a^{4} - 6 a^{3} + 19 a^{2} - 6 a + 9

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

3 a^{2} \cdot 3 a^{2} + 3 a^{2} (- a) + 3 a^{2} \cdot 3 - a \cdot 3 a^{2} - a (- a) - a \cdot 3 + 3 \cdot 3 a^{2} + 3 (- a) + 3 \cdot 3 : 9 a^{4} - 6 a^{3} + 19 a^{2} - 6 a + 9

= 9 a^{4} - 6 a^{3} + 19 a^{2} - 6 a + 9

(- x + 7)^{2}

1 0^{10}

\frac{5}{7} + \frac{3}{5}

- 4 x^{- 5}

What is expand (3a^2-a+3)^2 ?
The solution to expand (3a^2-a+3)^2 is 9a^4-6a^3+19a^2-6a+9