Question

Simplify the expressions below. Write the final product in standard form and show your work to receive full credit.

2x^4(4x^2 + 3x + 1)

Answer 1

We have
\[2x^4\times(4x^2+3x+1)\]
Multiply \(2x^4\) to each of the terms inside the bracket and post what do you get?

Answer 2

@rebecca1233 are you trying?

Answer 3

yes im lost can you work me through it please

Answer 4

Ok:) I'll show you how to do it
\[2x^4(4x^2 + 3x + 1)\]
\[2x^4 \times 4x^2+ 2x^4 \times 3x+ 2x^4 \times 1\]
Multiply the constants with the constants and variables with variables
\[\large 2 \times 4 x^4 \times x^2+ 2\times 3 x^4 \times x+ 2\times 1 x^4\]
I'll show you first the constants' multiplication and then variables'\[\large 8 x^4 \times x^2+ 6 x^4 \times x+ 2x^4\]
Now variables
\[\large 8 x^{4+2}+ 6 x^{4+ 1}+ 2x^4\]
Finally we get
\[\large 8 x^{6}+ 6 x^{5}+ 2x^4\]
Read each step and let me know if you get any doubt at any step(s):D