Trigonometry Examples

Evaluate v((-250 square root of 2+100)^2+(-250 square root of 2)^2)
Step 1
Simplify each term.
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Step 1.1
Rewrite as .
Step 1.2
Expand using the FOIL Method.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Apply the distributive property.
Step 1.2.3
Apply the distributive property.
Step 1.3
Simplify and combine like terms.
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Step 1.3.1
Simplify each term.
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Step 1.3.1.1
Multiply .
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Step 1.3.1.1.1
Multiply by .
Step 1.3.1.1.2
Raise to the power of .
Step 1.3.1.1.3
Raise to the power of .
Step 1.3.1.1.4
Use the power rule to combine exponents.
Step 1.3.1.1.5
Add and .
Step 1.3.1.2
Rewrite as .
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Step 1.3.1.2.1
Use to rewrite as .
Step 1.3.1.2.2
Apply the power rule and multiply exponents, .
Step 1.3.1.2.3
Combine and .
Step 1.3.1.2.4
Cancel the common factor of .
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Step 1.3.1.2.4.1
Cancel the common factor.
Step 1.3.1.2.4.2
Rewrite the expression.
Step 1.3.1.2.5
Evaluate the exponent.
Step 1.3.1.3
Multiply by .
Step 1.3.1.4
Multiply by .
Step 1.3.1.5
Multiply by .
Step 1.3.1.6
Multiply by .
Step 1.3.2
Add and .
Step 1.3.3
Subtract from .
Step 1.4
Apply the product rule to .
Step 1.5
Raise to the power of .
Step 1.6
Rewrite as .
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Step 1.6.1
Use to rewrite as .
Step 1.6.2
Apply the power rule and multiply exponents, .
Step 1.6.3
Combine and .
Step 1.6.4
Cancel the common factor of .
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Step 1.6.4.1
Cancel the common factor.
Step 1.6.4.2
Rewrite the expression.
Step 1.6.5
Evaluate the exponent.
Step 1.7
Multiply by .
Step 2
Simplify by multiplying through.
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Step 2.1
Add and .
Step 2.2
Apply the distributive property.
Step 2.3
Simplify the expression.
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Step 2.3.1
Move to the left of .
Step 2.3.2
Reorder factors in .