Question

pirections: Simplify the following expressions.1. If A = 7x3 + 3x6 - 3 and B 7x6 -- 3 - 7x3, what is B + A?

Answer 1

We have the following expressions:

`\begin{gathered} A=7x^3+3x^6-3 \\ B=7x^6-3-7x^3 \end{gathered}`

We have to calculate:

B+A

Replace the values:

`B+A=(7x^6-3-7x^3)+(7x^3+3x^6-3)`
`7x^6-3-7x^3+7x^3+3x^6-3`

Add and subtract the alike terms ( the ones with the same variable and exponent, for example, 7x6 and 3x6)

You can order the terms from highest exponent to lowest,

`7x^6+3x^6-7x^3+7x^6-3-3`

Then add and subtract

`(7x^6+3x^6)+(-7x^3+7x^3)+(-3-3)`
`(10x^6)+(-6)`
`10x^6-6`