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Algebra Examples
(y-4)2(y−4)2
Step 1
Rewrite (y-4)2(y−4)2 as (y-4)(y-4)(y−4)(y−4).
(y-4)(y-4)(y−4)(y−4)
Step 2
Step 2.1
Apply the distributive property.
y(y-4)-4(y-4)y(y−4)−4(y−4)
Step 2.2
Apply the distributive property.
y⋅y+y⋅-4-4(y-4)y⋅y+y⋅−4−4(y−4)
Step 2.3
Apply the distributive property.
y⋅y+y⋅-4-4y-4⋅-4y⋅y+y⋅−4−4y−4⋅−4
y⋅y+y⋅-4-4y-4⋅-4y⋅y+y⋅−4−4y−4⋅−4
Step 3
Step 3.1
Simplify each term.
Step 3.1.1
Multiply yy by y.
y2+y⋅-4-4y-4⋅-4
Step 3.1.2
Move -4 to the left of y.
y2-4⋅y-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