$$ =-p+10 p^{2} $$ and $$ C=2 p+7 $$, find an expression that equals $$ B+3 C $$ dard form.

Question

UpStudy AI · Accepted Answer

To find an expression that equals $$ B + 3C $$ given the equations:

$$
B = -p + 10p^{2}
$$
$$
C = 2p + 7
$$

Follow these steps:

1. **Express $$ 3C $$:**
   $$
   3C = 3(2p + 7) = 6p + 21
   $$

2. **Add $$ B $$ and $$ 3C $$:**
   $$
   B + 3C = (-p + 10p^{2}) + (6p + 21)
   $$

3. **Combine like terms:**
   $$
   B + 3C = 10p^{2} + (-p + 6p) + 21 = 10p^{2} + 5p + 21
   $$

So, the expression that equals $$ B + 3C $$ in standard form is:

$$
10p^{2} + 5p + 21
$$
The expression $$ B + 3C $$ in standard form is $$ 10p^{2} + 5p + 21 $$.

\( =-p+10 p^{2} \) and \( C=2 p+7 \), find an expression that equals \( B+3 C \) dard form.