Question

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

Answer 1

Answer

$-16k^2+5k-2$

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$