What is expand (x^2+Ax+B)^2 ?

The solution to expand (x^2+Ax+B)^2 is x^4+2Ax^3+2x^2B+A^2x^2+2ABx+B^2

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expand (x^2+Ax+B)^2

expand

(x^{2} + A x + B)^{2}

x^{4} + 2 A x^{3} + 2 x^{2} B + A^{2} x^{2} + 2 A B x + B^{2}

Solution steps

(x^{2} + A x + B)^{2}

Apply exponent rule:

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

(x^{2} + A x + B)^{2} = (x^{2} + A x + B) (x^{2} + A x + B)

= (x^{2} + A x + B) (x^{2} + A x + B)

Distribute parentheses

= x^{2} x^{2} + x^{2} A x + x^{2} B + A x x^{2} + A x A x + A x B + B x^{2} + B A x + BB

Simplify

x^{2} x^{2} + x^{2} A x + x^{2} B + A x x^{2} + A x A x + A x B + B x^{2} + B A x + BB : x^{4} + 2 A x^{3} + 2 x^{2} B + A^{2} x^{2} + 2 A B x + B^{2}

= x^{4} + 2 A x^{3} + 2 x^{2} B + A^{2} x^{2} + 2 A B x + B^{2}

\frac{3}{9 - i}

e^{0} - e^{0}

3 \times 23

3 \times 49

3 \times 64

What is expand (x^2+Ax+B)^2 ?
The solution to expand (x^2+Ax+B)^2 is x^4+2Ax^3+2x^2B+A^2x^2+2ABx+B^2