What is expand 3((1-4y)/3)(y) ?

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

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expand 3((1-4y)/3)(y)

expand

3 (\frac{1 - 4 y}{3}) (y)

- 4 y^{2} + y

Solution steps

3 (\frac{1 - 4 y}{3}) (y)

Remove parentheses:

(a) = a

= 3 \cdot \frac{1 - 4 y}{3} y

Multiply fractions:

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

= \frac{( 1 - 4 y ) \cdot 3 y}{3}

Cancel the common factor:

3

= (1 - 4 y) y

= y (1 - 4 y)

Apply the distributive law:

a (b - c) = ab - a c

a = y, b = 1, c = 4 y

= y \cdot 1 - y \cdot 4 y

= 1 \cdot y - 4 yy

Simplify

1 \cdot y - 4 yy : y - 4 y^{2}

= y - 4 y^{2}

Rewrite in standard form

= - 4 y^{2} + y

cos (3 (π - θ))

\frac{ln ( n ( n + 1 ) )}{n + 1}

x (x^{6} - 16 x^{4} = 0)

\frac{x + 2}{x ^{2} ( x + 1 )}

\frac{( 4 x + 8 )}{( ( x ^{2} - 1 ) ^{2} )}

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