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

The solution to expand (-3/2 x+b)^2 is (9x^2-12bx+4b^2)/4

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expand (-3/2 x+b)^2

expand

(- \frac{3}{2} x + b)^{2}

\frac{9 x ^{2} - 12 b x + 4 b ^{2}}{4}

Solution steps

(- \frac{3}{2} x + b)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(- \frac{3}{2} x + b)^{2} = (- \frac{3}{2} x)^{2} + 2 (- \frac{3}{2} x) b + b^{2}

= (- \frac{3}{2} x)^{2} + 2 (- \frac{3}{2} x) b + b^{2}

Simplify

(- \frac{3}{2} x)^{2} + 2 (- \frac{3}{2} x) b + b^{2} : \frac{9 x ^{2} - 12 b x + 4 b ^{2}}{4}

= \frac{9 x ^{2} - 12 b x + 4 b ^{2}}{4}

\frac{d ^{2}}{d x ^{2}} ((y (t, x)) (t^{3} + t))

(y^{3} + 5 x y^{4} - 2 x) d x + (3 x y^{2} + 20 x^{2} y^{3}) d x

(y^{3} + 5 x y^{4} - 2 x) d x + (3 x y^{2} + 20 x^{2} y^{3}) d y

(x) d x + (y - 2 x) d y

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

What is expand (-3/2 x+b)^2 ?
The solution to expand (-3/2 x+b)^2 is (9x^2-12bx+4b^2)/4