Algebra Examples

Simplify (y-4)^2
(y-4)2
Step 1
Rewrite (y-4)2 as (y-4)(y-4).
(y-4)(y-4)
Step 2
Expand (y-4)(y-4) using the FOIL Method.
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Step 2.1
Apply the distributive property.
y(y-4)-4(y-4)
Step 2.2
Apply the distributive property.
yy+y-4-4(y-4)
Step 2.3
Apply the distributive property.
yy+y-4-4y-4-4
yy+y-4-4y-4-4
Step 3
Simplify and combine like terms.
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Step 3.1
Simplify each term.
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Step 3.1.1
Multiply y by y.
y2+y-4-4y-4-4
Step 3.1.2
Move -4 to the left of y.
y2-4y-4y-4-4
Step 3.1.3
Multiply -4 by -4.
y2-4y-4y+16
y2-4y-4y+16
Step 3.2
Subtract 4y from -4y.
y2-8y+16
y2-8y+16
(y-4)2
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