Question

HELP PLEASE?!

Multiply: 3x4(4x4 − x5 + 2)

A.) 7x8 − 3x9 + 6x4
B.) 12x8 − 3x9 + 6x4
C.) 12x4 − x9 + 6x4
D.) 12x16 − 3x20 + 6x4

Answer 1

12 times 16 take away 3 times 20 plus 6 times 4

Answer 2

`12x^8-3x^9+6x^4`

B is the correct option.

Explanation:

We have to multiply the expression

`3x^4(4x^4-x^5+2)</p><p><strong>Using the distributive property a(b+c)=ab+ac</strong></p><p>[tex]3x^4*4x^4+3x^4*(-x^5)+3x^4*2`

Now, using the exponent rule
`x^a* x^b=x^(a+b)`

`12x^(4+4)-3x^(4+5)+6x^4`

On simplifying, we get

`12x^8-3x^9+6x^4`

B is the correct option.