Question

If B = k – 5k^2 – 1 and C = k – 2k^2, find an expression that equals 2B + 3Cin standard form.

Answer 1

`-16k^2+5k-2`

Step-by-step explanation

• Given

`B=k-5k^2-1`
`C=k-2k^2`

Expression:

`2B+3C`

• Procedure

Replacing the values of B and C in the expression:

`=2(k-5k^2-1)+3(k-2k^2)`

Simplifying the expression:

`=2k-10k^2-2+3k-6k^2`

Adding similar terms:

`=-10k^2-6k^2+2k+3k-2`
`=-16k^2+5k-2`