What is expand (x^2+ax-3)^2 ?

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

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expand (x^2+ax-3)^2

expand

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Distribute parentheses

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

Simplify

x^{2} x^{2} + x^{2} a x + x^{2} (- 3) + a x x^{2} + a x a x + a x (- 3) - 3 x^{2} - 3 a x - 3 (- 3) : x^{4} - 6 x^{2} + 2 a x^{3} + a^{2} x^{2} - 6 a x + 9

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

- 5 \times 8

7 \times (- 7)

9^{l o g_{3} (4)}

60 \times 8

\frac{7}{54}

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