What is (2sqrt(5)-3sqrt(2))^3 ?

The solution to (2sqrt(5)-3sqrt(2))^3 is 148sqrt(5)-234sqrt(2)

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Popular >

simplify (2sqrt(5)-3sqrt(2))^3

simplify

(25 - 32)^{3}

1485 - 2342

Decimal Notation

0.01208 \dots

Solution steps

(25 - 32)^{3}

Apply Perfect Cube Formula:

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

a = 25, b = 32

= (25)^{3} - 3 (25)^{2} \cdot 32 + 3 \cdot 25 (32)^{2} - (32)^{3}

Simplify

(25)^{3} - 3 (25)^{2} \cdot 32 + 3 \cdot 25 (32)^{2} - (32)^{3} : 1485 - 2342

= 1485 - 2342

\frac{15}{24}

64 \times 4

6 x^{2} - 12 x

- x - 1

17 \times 2

What is (2sqrt(5)-3sqrt(2))^3 ?
The solution to (2sqrt(5)-3sqrt(2))^3 is 148sqrt(5)-234sqrt(2)