What is (1-x/4)(1+2x)^6 ?

The solution to (1-x/4)(1+2x)^6 is ((4-x)(1+2x)^6)/4

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simplify (1-x/4)(1+2x)^6

simplify

(1 - \frac{x}{4}) (1 + 2 x)^{6}

\frac{( 4 - x ) ( 1 + 2 x ) ^{6}}{4}

Solution steps

(1 - \frac{x}{4}) (1 + 2 x)^{6}

Join

1 - \frac{x}{4} : \frac{4 - x}{4}

= \frac{4 - x}{4} (1 + 2 x)^{6}

Apply the fraction rule:

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

= \frac{( 4 - x ) ( 1 + 2 x ) ^{6}}{4}

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