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

The solution to expand (3a^2-a+2)^2 is 9a^4-6a^3+13a^2-4a+4

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

expand

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

9 a^{4} - 6 a^{3} + 13 a^{2} - 4 a + 4

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

3 a^{2} \cdot 3 a^{2} + 3 a^{2} (- a) + 3 a^{2} \cdot 2 - a \cdot 3 a^{2} - a (- a) - a \cdot 2 + 2 \cdot 3 a^{2} + 2 (- a) + 2 \cdot 2 : 9 a^{4} - 6 a^{3} + 13 a^{2} - 4 a + 4

= 9 a^{4} - 6 a^{3} + 13 a^{2} - 4 a + 4

\frac{( 18 x ^{3} + 12 x ^{2} - 3 x )}{6 x ^{2}}

3 + (- \frac{3}{2})

e^{l n (x - 1)}

(3 x^{2} - 2 x + 5) - (2 x^{2} - 5 x + 1)

\frac{p ^{2} + 7 p + 10}{p + 5} \cdot \frac{1}{p + 2}

What is expand (3a^2-a+2)^2 ?
The solution to expand (3a^2-a+2)^2 is 9a^4-6a^3+13a^2-4a+4