What is expand 36x^{1/6}y^{5/6}-λ(3x+5y-60) ?

The solution to expand 36x^{1/6}y^{5/6}-λ(3x+5y-60) is 36x^{1/6}y^{5/6}-3λx-5λy+60λ

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expand 36x^{1/6}y^{5/6}-λ(3x+5y-60)

expand

36 x^{\frac{1}{6}} y^{\frac{5}{6}} - λ (3 x + 5 y - 60)

36 x^{\frac{1}{6}} y^{\frac{5}{6}} - 3 λ x - 5 λ y + 60 λ

Solution steps

36 x^{\frac{1}{6}} y^{\frac{5}{6}} - λ (3 x + 5 y - 60)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- λ (3 x + 5 y - 60) = - λ \cdot 3 x - λ \cdot 5 y - λ (- 60)

= 36 x^{\frac{1}{6}} y^{\frac{5}{6}} - λ \cdot 3 x - λ \cdot 5 y - λ (- 60)

Simplify

- λ \cdot 3 x - λ \cdot 5 y - λ (- 60) : - 3 λ x - 5 λ y + 60 λ

= 36 x^{\frac{1}{6}} y^{\frac{5}{6}} - 3 λ x - 5 λ y + 60 λ

\frac{12 x ^{3}}{( 2 x + 1 ) ( 3 x ^{2} + 1 )}

lo g_{10} (x^{2} (x + 2))

\frac{4 x ^{2} + 6 x + 11}{( x + 2 ) ( x ^{2} + x + 3 )}

\frac{1 + x e ^{- 5 x}}{x ( x + 4 ) ^{2}}

(4 - 4 x + x)^{2}

What is expand 36x^{1/6}y^{5/6}-λ(3x+5y-60) ?
The solution to expand 36x^{1/6}y^{5/6}-λ(3x+5y-60) is 36x^{1/6}y^{5/6}-3λx-5λy+60λ