Question

Simplify -8y^3(7y^2-4y-1) PLEASE HELP

Answer 1

Hey!

Alright, according to P.E.M.D.A.S., the first step to solving this expression is to distribute.

Original Expression :

`\displaystyle\ -8y^(3) (7y^(2) -4y-1)`

New Expression {Distributed Old Expression} :

`\displaystyle\ -(56y^(5) -32y^(4) -8y^(3) )`

Now all you have to do is simplify the parenthesis.

Old Expression :

`\displaystyle\ -(56y^(5) -32y^(4) -8y^(3) )`

New Expression {Simplified} :

`\displaystyle\ -56y^(5) + 32y^(4) + 8y^(3)`

So, since the expression can no longer be simplified, the final answer is...

`\displaystyle\ -56y^(5) + 32y^(4) + 8y^(3)`

Hope this helps!

- Lindsey Frazier ♥

Answer 2

Given expression
`-8y^(3)(7y^(2)-4y-1)`

To simplify this expression, first we need to know about the Distributive property.

Distributive Property:
`a*(b+c+d)=(a* b)+(a* c)+(a* d)`

Given expression
`-8y^(3)(7y^(2)-4y-1)`

Applying Distributive property on this expression:

`\Rigtharrow -8y^(3)(7y^(2)-4y-1)=((-8y^(3))*7y^(2))+((-8y^(3))*(-4y))+((-8y^(3))*(-1))`

`= -56y^(5)+32y^(4)+8y^(3)`

Hence, the simplified form of the expression
`-8y^(3)(7y^(2)-4y-1)` is
`-56y^(5)+32y^(4)+8y^(3)`.