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

The solution to expand (2a^2-x+4)^2 is 4a^4+16a^2+x^2-4xa^2-8x+16

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

expand

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

4 a^{4} + 16 a^{2} + x^{2} - 4 x a^{2} - 8 x + 16

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

2 a^{2} \cdot 2 a^{2} + 2 a^{2} (- x) + 2 a^{2} \cdot 4 - x \cdot 2 a^{2} - x (- x) - x \cdot 4 + 4 \cdot 2 a^{2} + 4 (- x) + 4 \cdot 4 : 4 a^{4} + 16 a^{2} + x^{2} - 4 x a^{2} - 8 x + 16

= 4 a^{4} + 16 a^{2} + x^{2} - 4 x a^{2} - 8 x + 16

x^{3} - 6 x^{2} - 9 x + 14

2 x^{2} + 4 \times (- 6)

- 3.5 \div \frac{1}{2}

\frac{9}{8 x} - \frac{3}{4 x}

62 \times 514

What is expand (2a^2-x+4)^2 ?
The solution to expand (2a^2-x+4)^2 is 4a^4+16a^2+x^2-4xa^2-8x+16