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受欢迎的代数 >

展开 2((1-3y)/2)^2

解答

展开

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

解答

\frac{9 y ^{2}}{2} - 3 y + \frac{1}{2}

求解步骤

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

(\frac{1 - 3 y}{2})^{2} = \frac{1 - 6 y + 9 y ^{2}}{2 ^{2}}

= 2 \cdot \frac{9 y ^{2} - 6 y + 1}{2 ^{2}}

分式相乘:

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

= \frac{( 1 - 6 y + 9 y ^{2} ) \cdot 2}{2 ^{2}}

约分:

2

= \frac{1 - 6 y + 9 y ^{2}}{2}

使用分式法则:

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

\frac{1 - 6 y + 9 y ^{2}}{2} = \frac{1}{2} - \frac{6 y}{2} + \frac{9 y ^{2}}{2}

= \frac{1}{2} - \frac{6 y}{2} + \frac{9 y ^{2}}{2}

数字相除:

\frac{6}{2} = 3

= \frac{1}{2} - 3 y + \frac{9 y ^{2}}{2}

改写为标准形式

= \frac{9 y ^{2}}{2} - 3 y + \frac{1}{2}

流行的例子

展开 (2pi)/(365)(90-101)

e x p an d \frac{2 π}{365} (90 - 101)

展开 (a*b)/(a(1+c)+d)

e x p an d \frac{a \cdot b}{a ( 1 + c ) + d}

展开 x^xln(x)(ln(x)+1)+x^{x-1}

e x p an d x^{x} ln (x) (ln (x) + 1) + x^{x - 1}

展开 8cos(2(x+1))

e x p an d 8 cos (2 (x + 1))

展开 (3(x-5))/8

e x p an d \frac{3 ( x - 5 )}{8}