What is expand (3a^2-a+4)^2 ?

The solution to expand (3a^2-a+4)^2 is 9a^4-6a^3+25a^2-8a+16

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expand (3a^2-a+4)^2

expand

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

9 a^{4} - 6 a^{3} + 25 a^{2} - 8 a + 16

Solution steps

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

Apply exponent rule:

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

(3 a^{2} - a + 4)^{2} = (3 a^{2} - a + 4) (3 a^{2} - a + 4)

= (3 a^{2} - a + 4) (3 a^{2} - a + 4)

Distribute parentheses

= 3 a^{2} \cdot 3 a^{2} + 3 a^{2} (- a) + 3 a^{2} \cdot 4 - a \cdot 3 a^{2} - a (- a) - a \cdot 4 + 4 \cdot 3 a^{2} + 4 (- a) + 4 \cdot 4

Simplify

3 a^{2} \cdot 3 a^{2} + 3 a^{2} (- a) + 3 a^{2} \cdot 4 - a \cdot 3 a^{2} - a (- a) - a \cdot 4 + 4 \cdot 3 a^{2} + 4 (- a) + 4 \cdot 4 : 9 a^{4} - 6 a^{3} + 25 a^{2} - 8 a + 16

= 9 a^{4} - 6 a^{3} + 25 a^{2} - 8 a + 16

(4 v^{3} w) (- 2 w^{3})^{2}

24.5

2^{- 4} \cdot 2^{- 3}

2 (- x)^{2}

47 \cdot 328

What is expand (3a^2-a+4)^2 ?
The solution to expand (3a^2-a+4)^2 is 9a^4-6a^3+25a^2-8a+16