Question
Factor the expression
10(5y−3)(5y+3)
Evaluate
250y2−90
Factor out 10 from the expression
10(25y2−9)
Solution
More Steps

Evaluate
25y2−9
Rewrite the expression in exponential form
(5y)2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(5y−3)(5y+3)
10(5y−3)(5y+3)
Show Solution

Find the roots
y1=−53,y2=53
Alternative Form
y1=−0.6,y2=0.6
Evaluate
250y2−90
To find the roots of the expression,set the expression equal to 0
250y2−90=0
Move the constant to the right-hand side and change its sign
250y2=0+90
Removing 0 doesn't change the value,so remove it from the expression
250y2=90
Divide both sides
250250y2=25090
Divide the numbers
y2=25090
Cancel out the common factor 10
y2=259
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±259
Simplify the expression
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Evaluate
259
To take a root of a fraction,take the root of the numerator and denominator separately
259
Simplify the radical expression
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Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
253
Simplify the radical expression
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Evaluate
25
Write the number in exponential form with the base of 5
52
Reduce the index of the radical and exponent with 2
5
53
y=±53
Separate the equation into 2 possible cases
y=53y=−53
Solution
y1=−53,y2=53
Alternative Form
y1=−0.6,y2=0.6
Show Solution
