What is (x/4-(3y)/2)(x/4+(3y)/2) ?

The solution to (x/4-(3y)/2)(x/4+(3y)/2) is ((x-6y)(x+6y))/(16)

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simplify (x/4-(3y)/2)(x/4+(3y)/2)

simplify

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

\frac{( x - 6 y ) ( x + 6 y )}{16}

Solution steps

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

Join

\frac{x}{4} - \frac{3 y}{2} : \frac{x - 6 y}{4}

= \frac{x - 6 y}{4} (\frac{x}{4} + \frac{3 y}{2})

Join

\frac{x}{4} + \frac{3 y}{2} : \frac{x + 6 y}{4}

= \frac{x - 6 y}{4} \cdot \frac{x + 6 y}{4}

Apply the fraction rule:

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

= \frac{( x - 6 y ) ( x + 6 y )}{4 \cdot 4}

Multiply the numbers:

4 \cdot 4 = 16

= \frac{( x - 6 y ) ( x + 6 y )}{16}

\frac{- 12 x ^{2} - 16}{( 2 x + 1 ) ^{2}}

(x + Δ)^{2}

\frac{d}{d t} ((x) (x - y))

\frac{8 x d x}{( 2 x ^{2} + 5 ) ^{4}}

\frac{x ^{2} - 4 x + 10}{( x - 2 ) ^{2}}

What is (x/4-(3y)/2)(x/4+(3y)/2) ?
The solution to (x/4-(3y)/2)(x/4+(3y)/2) is ((x-6y)(x+6y))/(16)