Subtract minus, 5, x, squared, plus, 7, x, plus, 2−5x
2
+7x+2 from minus, 5, x, squared, minus, 7, x, plus, 2−5x
2
−7x+2.
Solve the problem just like the example below
⬇️
Perform the operation.
left parenthesis, x, plus, 9, right parenthesis, plus, left parenthesis, 3, x, squared, plus, 4, x, minus, 2, right parenthesis
(x+9)+(3x
2
+4x−2)
x, plus, 9, plus, 3, x, squared, plus, 4, x, minus, 2
x+9+3x
2
+4x−2
Combine like terms: 3, x, squared, plus, 5, x, plus, 7
3x
2
+5x+7
asked by
SM
19 days ago
2 views
0
0
1 answer
Let's perform the operation as per your instructions:
Subtract \(-5x^2 + 7x + 2\) from \(-5x^2 - 7x + 2\):
\[
(-5x^2 - 7x + 2) - (-5x^2 + 7x + 2)
\]
Now, rewrite it:
\[
-5x^2 - 7x + 2 + 5x^2 - 7x - 2
\]
Combine like terms:
Combine \( -5x^2 + 5x^2 \):
\[
-5x^2 + 5x^2 = 0
\]
Combine \( -7x - 7x \):
\[
-7x - 7x = -14x
\]
Combine \( 2 - 2 \):
\[
2 - 2 = 0
\]
So, we have:
\[
0 - 14x + 0 = -14x
\]
Thus, the final result is:
\[
-14x
\]