Expansion of (4x-9y)?
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Answer: 16x2−81y2
Step-by-step explanation:
Expand (4x−9y)(4x+9y)(4x-9y)(4x+9y)
Apply the distributive property.
= 4x(4x+9y)−9y(4x+9y)4x(4x+9y)-9y(4x+9y)
= 4x(4x)+4x(9y)−9y(4x+9y)4x(4x)+4x(9y)-9y(4x+9y)
= 4x(4x)+4x(9y)−9y(4x)−9y(9y)4x(4x)+4x(9y)-9y(4x)-9y(9y)
= 16x2+4x(9y)−9y(4x)−9y(9y)16x2+4x(9y)-9y(4x)-9y(9y)
Rewrite using the commutative property of multiplication.
= 16x2+36xy−36xy−81y2
Subtract 36xy from 36xy.
= 16x2+0−81y2
= 16x2−81y2
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