Question

Please help! 3 Questions please show how you solved the problem

1. Subtract & simplify
(–y2 – 4y – 8) – (–4y2 – 6y + 3)

2.Multiply and simplify
2x2y3z2 · 4xy4x2

3.Multiply and simplify
(x – 4) (x2 – 5x – 6)

Answer 1

1)
`(-y^2-4y-8+4y^2+6y-3)`

2)
`32x^5y^4z^2`

3)
`x^3-9x^2+14x+24`

Explanation:

Given the expression we have to simplify the expression

1)
`(-y^2-4y-8)-(-4y^2-6y+3)`

⇒
`(-y^2-4y-8+4y^2+6y-3)`

Combining like terms, we get

⇒
`3y^2+2y-11`

2.)
`(2x^2y^3z^2)(4xy.4x^2)`

⇒
`(2x^2y^3z^2)(16x^3y)`

⇒
`32x^5y^4z^2`

3.)
`(x-4)(x^2-5x-6)`

⇒
`x^3-5x^2-6x-4x^2+20x+24`

⇒
`x^3-9x^2+14x+24`