What is expand ((4x^2-1)(x^2+3))/2 ?

The solution to expand ((4x^2-1)(x^2+3))/2 is 2x^4+(11x^2)/2-3/2

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expand ((4x^2-1)(x^2+3))/2

expand

\frac{( 4 x ^{2} - 1 ) ( x ^{2} + 3 )}{2}

2 x^{4} + \frac{11 x ^{2}}{2} - \frac{3}{2}

Solution steps

\frac{( 4 x ^{2} - 1 ) ( x ^{2} + 3 )}{2}

Expand

(4 x^{2} - 1) (x^{2} + 3) : 4 x^{4} + 11 x^{2} - 3

= \frac{4 x ^{4} + 11 x ^{2} - 3}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{4 x ^{4} + 11 x ^{2} - 3}{2} = \frac{4 x ^{4}}{2} + \frac{11 x ^{2}}{2} - \frac{3}{2}

= \frac{4 x ^{4}}{2} + \frac{11 x ^{2}}{2} - \frac{3}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2 x^{4} + \frac{11 x ^{2}}{2} - \frac{3}{2}

(1 + y^{2}) d y + (1 + x^{2}) d x

P (1, - 3, 2) y Q (2, 1, - 1)

e^{x} (e^{x} + e^{x} x)

\frac{7 ( x + h ) + 3}{9 ( x + h ) - 4}

\frac{1}{3 ( 3 r - 12 )}

What is expand ((4x^2-1)(x^2+3))/2 ?
The solution to expand ((4x^2-1)(x^2+3))/2 is 2x^4+(11x^2)/2-3/2