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Popular >

expand (2y-3)^3

Solution

expand

(2 y - 3)^{3}

Solution

8 y^{3} - 36 y^{2} + 54 y - 27

Solution steps

(2 y - 3)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(2 y - 3)^{3} = (2 y)^{3} - 3 (2 y)^{2} \cdot 3 + 3 \cdot 2 y \cdot 3^{2} - 3^{3}

= (2 y)^{3} - 3 (2 y)^{2} \cdot 3 + 3 \cdot 2 y \cdot 3^{2} - 3^{3}

Simplify

(2 y)^{3} - 3 (2 y)^{2} \cdot 3 + 3 \cdot 2 y \cdot 3^{2} - 3^{3} : 8 y^{3} - 36 y^{2} + 54 y - 27

= 8 y^{3} - 36 y^{2} + 54 y - 27

Popular Examples

simplify x^3+1/8 simplify

x^{3} + \frac{1}{8}

simplify 10*8 simplify

10 \cdot 8

8/12 \div 8 3/4 \div 24/16 \div 12

\frac{8}{12} \div 8 \frac{3}{4} \div \frac{24}{16} \div 12

simplify sqrt(3^{-2)+4^{-2}}simplify

3^{- 2} + 4^{- 2}

simplify 8/3*3 simplify

\frac{8}{3} \cdot 3

Frequently Asked Questions (FAQ)

What is expand (2y-3)^3 ?
The solution to expand (2y-3)^3 is 8y^3-36y^2+54y-27