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

The solution to expand 4(x^2-4x+3)^2 is 4x^4-32x^3+88x^2-96x+36

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

expand

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

4 x^{4} - 32 x^{3} + 88 x^{2} - 96 x + 36

Solution steps

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

(x^{2} - 4 x + 3)^{2} = x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 9

= 4 (x^{4} - 8 x^{3} + 22 x^{2} - 24 x + 9)

Distribute parentheses

= 4 x^{4} + 4 (- 8 x^{3}) + 4 \cdot 22 x^{2} + 4 (- 24 x) + 4 \cdot 9

Apply minus-plus rules

+ (- a) = - a

= 4 x^{4} - 4 \cdot 8 x^{3} + 4 \cdot 22 x^{2} - 4 \cdot 24 x + 4 \cdot 9

Simplify

4 x^{4} - 4 \cdot 8 x^{3} + 4 \cdot 22 x^{2} - 4 \cdot 24 x + 4 \cdot 9 : 4 x^{4} - 32 x^{3} + 88 x^{2} - 96 x + 36

= 4 x^{4} - 32 x^{3} + 88 x^{2} - 96 x + 36

\frac{1}{3 ( 2 t ^{2} - 1 )}

\frac{1}{( jω + 2 ) ( jω + 4 )}

6 (525)

x ln (x) - (x + 1) ln (x - 1)

(y - x) \frac{d y}{d x} + y

What is expand 4(x^2-4x+3)^2 ?
The solution to expand 4(x^2-4x+3)^2 is 4x^4-32x^3+88x^2-96x+36