Question
Simplify the expression
56n4−35n2
Evaluate
7n2×8n2−7n2×5
Multiply
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Multiply the terms
7n2×8n2
Multiply the terms
56n2×n2
Multiply the terms with the same base by adding their exponents
56n2+2
Add the numbers
56n4
56n4−7n2×5
Solution
56n4−35n2
Show Solution

Factor the expression
7n2(8n2−5)
Evaluate
7n2×8n2−7n2×5
Solution
7n2(8n2−5)
Show Solution

Find the roots
n1=−410,n2=0,n3=410
Alternative Form
n1≈−0.790569,n2=0,n3≈0.790569
Evaluate
7n2×8n2−7n2×5
To find the roots of the expression,set the expression equal to 0
7n2×8n2−7n2×5=0
Multiply
More Steps

Multiply the terms
7n2×8n2
Multiply the terms
56n2×n2
Multiply the terms with the same base by adding their exponents
56n2+2
Add the numbers
56n4
56n4−7n2×5=0
Multiply the terms
56n4−35n2=0
Factor the expression
7n2(8n2−5)=0
Divide both sides
n2(8n2−5)=0
Separate the equation into 2 possible cases
n2=08n2−5=0
The only way a power can be 0 is when the base equals 0
n=08n2−5=0
Solve the equation
More Steps

Evaluate
8n2−5=0
Move the constant to the right-hand side and change its sign
8n2=0+5
Removing 0 doesn't change the value,so remove it from the expression
8n2=5
Divide both sides
88n2=85
Divide the numbers
n2=85
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±85
Simplify the expression
More Steps

Evaluate
85
To take a root of a fraction,take the root of the numerator and denominator separately
85
Simplify the radical expression
225
Multiply by the Conjugate
22×25×2
Multiply the numbers
22×210
Multiply the numbers
410
n=±410
Separate the equation into 2 possible cases
n=410n=−410
n=0n=410n=−410
Solution
n1=−410,n2=0,n3=410
Alternative Form
n1≈−0.790569,n2=0,n3≈0.790569
Show Solution
