What is expand 2/3 (a+3)(b+(-4/3)) ?

The solution to expand 2/3 (a+3)(b+(-4/3)) is (2ab-8)/3-(8a)/9+2b

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expand 2/3 (a+3)(b+(-4/3))

expand

\frac{2}{3} (a + 3) (b + (- \frac{4}{3}))

\frac{2 ab - 8}{3} - \frac{8 a}{9} + 2 b

Solution steps

\frac{2}{3} (a + 3) (b + (- \frac{4}{3}))

Simplify

b + (- \frac{4}{3}) : b - \frac{4}{3}

= \frac{2}{3} (a + 3) (b - \frac{4}{3})

Apply FOIL method

(a + 3) (b - \frac{4}{3}) : ab - \frac{4 a}{3} + 3 b - 4

= \frac{2}{3} (ab - \frac{4 a}{3} + 3 b - 4)

Distribute parentheses

= \frac{2}{3} ab + \frac{2}{3} (- \frac{4 a}{3}) + \frac{2}{3} \cdot 3 b + \frac{2}{3} (- 4)

Simplify

\frac{2}{3} ab + \frac{2}{3} (- \frac{4 a}{3}) + \frac{2}{3} \cdot 3 b + \frac{2}{3} (- 4) : \frac{2 ab - 8}{3} - \frac{8 a}{9} + 2 b

= \frac{2 ab - 8}{3} - \frac{8 a}{9} + 2 b

\frac{1}{81} (2 + s)^{4}

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

(63 - 5) (25 + 42)

- \frac{a ^{2} ( - 5 a ^{2} b ^{4} - 6 a c + 7 c ^{3} )}{b ^{2} c}

\frac{11}{x ( x ^{2} + 11 )}

What is expand 2/3 (a+3)(b+(-4/3)) ?
The solution to expand 2/3 (a+3)(b+(-4/3)) is (2ab-8)/3-(8a)/9+2b