To expand this expression, we can use the distributive property.
First, distribute (х-4) into (х^2 + 4x + 16):(х)(х^2) + (х)(4x) + (х)(16) + (-4)(х^2) + (-4)(4x) + (-4)(16) + 28
This simplifies to:х^3 + 4х^2 + 16х - 4х^2 - 16x - 64 + 28
Now combine like terms:х^3 + 16х - 36
So, the expanded form of (х-4)(х^2 + 4x + 16) + 28 is х^3 + 16х - 36.
To expand this expression, we can use the distributive property.
First, distribute (х-4) into (х^2 + 4x + 16):
(х)(х^2) + (х)(4x) + (х)(16) + (-4)(х^2) + (-4)(4x) + (-4)(16) + 28
This simplifies to:
х^3 + 4х^2 + 16х - 4х^2 - 16x - 64 + 28
Now combine like terms:
х^3 + 16х - 36
So, the expanded form of (х-4)(х^2 + 4x + 16) + 28 is х^3 + 16х - 36.