Question If $$ B=1-q $$ and $$ C=3 q-q^{2}-1 $$, find an expreasion that equals $$ B-C $$ in standard

Question

UpStudy AI · Accepted Answer

To find an expression for $$ B - C $$ in standard form, follow these steps:

Given:
$$
B = 1 - q
$$
$$
C = 3q - q^2 - 1
$$

Compute $$ B - C $$:
$$
B - C = (1 - q) - (3q - q^2 - 1)
$$

Distribute the negative sign:
$$
B - C = 1 - q - 3q + q^2 + 1
$$

Combine like terms:
$$
B - C = q^2 - 4q + 2
$$

So, the expression $$ B - C $$ in standard form is:
$$
B - C = q^2 - 4q + 2
$$

**Answer:** 
After simplifying, $$ B - C = q^{2} - 4\,q + 2 $$.
$$ B - C = q^{2} - 4q + 2 $$

Question If \( B=1-q \) and \( C=3 q-q^{2}-1 \), find an expreasion that equals \( B-C \) in standard