Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4n2−1600
Evaluate
n2×4−1600
Solution
4n2−1600
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Factor the expression
4(n−20)(n+20)
Evaluate
n2×4−1600
Use the commutative property to reorder the terms
4n2−1600
Factor out 4 from the expression
4(n2−400)
Solution
More Steps
Evaluate
n2−400
Rewrite the expression in exponential form
n2−202
Use a2−b2=(a−b)(a+b) to factor the expression
(n−20)(n+20)
4(n−20)(n+20)
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Find the roots
n1=−20,n2=20
Evaluate
n2×4−1600
To find the roots of the expression,set the expression equal to 0
n2×4−1600=0
Use the commutative property to reorder the terms
4n2−1600=0
Move the constant to the right-hand side and change its sign
4n2=0+1600
Removing 0 doesn't change the value,so remove it from the expression
4n2=1600
Divide both sides
44n2=41600
Divide the numbers
n2=41600
Divide the numbers
More Steps
Evaluate
41600
Reduce the numbers
1400
Calculate
400
n2=400
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±400
Simplify the expression
More Steps
Evaluate
400
Write the number in exponential form with the base of 20
202
Reduce the index of the radical and exponent with 2
20
n=±20
Separate the equation into 2 possible cases
n=20n=−20
Solution
n1=−20,n2=20
Show Solution