factorize 2*2^1/2x^3+3*3^1/2y^3+5^1/2(5-3*6^1/2xy)
To factorize the given expression, let's simplify it step by step.
First, let's simplify some of the terms:
2 * 2^(1/2) = 2 * √2 = 2√2
3 * 3^(1/2) = 3 * √3 = 3√3
5^(1/2) = √5
Now, let's rearrange the expression by grouping similar terms:
2√2x^3 + 3√3y^3 + √5(5 - 3√6xy)
Now, let's factor out common terms:
Common factor of x^3: x^3(2√2)
Common factor of y^3: y^3(3√3)
Common factor of (5 - 3√6xy): √5(5 - 3√6xy)
Combining all the factors, we get:
x^3(2√2) + y^3(3√3) + √5(5 - 3√6xy)
Therefore, the fully factorized expression is:
x^3(2√2) + y^3(3√3) + √5(5 - 3√6xy)