Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(y−4)(y2+4y+16)
Evaluate
y3−64
Rewrite the expression in exponential form
y3−43
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(y−4)(y2+y×4+42)
Use the commutative property to reorder the terms
(y−4)(y2+4y+42)
Solution
(y−4)(y2+4y+16)
Show Solution
Find the roots
y=4
Evaluate
y3−64
To find the roots of the expression,set the expression equal to 0
y3−64=0
Move the constant to the right-hand side and change its sign
y3=0+64
Removing 0 doesn't change the value,so remove it from the expression
y3=64
Take the 3-th root on both sides of the equation
3y3=364
Calculate
y=364
Solution
More Steps
Evaluate
364
Write the number in exponential form with the base of 4
343
Reduce the index of the radical and exponent with 3
4
y=4
Show Solution