Question
Simplify the expression
10y3−462
Evaluate
2y2×5y−462
Solution
More Steps

Evaluate
2y2×5y
Multiply the terms
10y2×y
Multiply the terms with the same base by adding their exponents
10y2+1
Add the numbers
10y3
10y3−462
Show Solution

Factor the expression
2(5y3−231)
Evaluate
2y2×5y−462
Multiply
More Steps

Evaluate
2y2×5y
Multiply the terms
10y2×y
Multiply the terms with the same base by adding their exponents
10y2+1
Add the numbers
10y3
10y3−462
Solution
2(5y3−231)
Show Solution

Find the roots
y=535775
Alternative Form
y≈3.588233
Evaluate
2y2×5y−462
To find the roots of the expression,set the expression equal to 0
2y2×5y−462=0
Multiply
More Steps

Multiply the terms
2y2×5y
Multiply the terms
10y2×y
Multiply the terms with the same base by adding their exponents
10y2+1
Add the numbers
10y3
10y3−462=0
Move the constant to the right-hand side and change its sign
10y3=0+462
Removing 0 doesn't change the value,so remove it from the expression
10y3=462
Divide both sides
1010y3=10462
Divide the numbers
y3=10462
Cancel out the common factor 2
y3=5231
Take the 3-th root on both sides of the equation
3y3=35231
Calculate
y=35231
Solution
More Steps

Evaluate
35231
To take a root of a fraction,take the root of the numerator and denominator separately
353231
Multiply by the Conjugate
35×3523231×352
Simplify
35×3523231×325
Multiply the numbers
More Steps

Evaluate
3231×325
The product of roots with the same index is equal to the root of the product
3231×25
Calculate the product
35775
35×35235775
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
535775
y=535775
Alternative Form
y≈3.588233
Show Solution
