5(14x^2+9x)-22

Question

which of the following represents a sum from the expression given?
5
14x^2+9x
14x^2
22

Answer 1

To find the sum from the expression \( 5(14x^2 + 9x) - 22 \), we first need to simplify this expression.

1. Distributing the 5 in the expression: \[ 5(14x^2 + 9x) = 70x^2 + 45x \]

2. Subtracting 22 from this result: \[ 70x^2 + 45x - 22 \]

The question asks which option represents a sum from the expression. In the simplified expression \( 70x^2 + 45x - 22 \), we see that it can be represented as:

• A sum of \( 70x^2 \), \( 45x \), and \(-22\).

Among the options given:

1. 5 - a constant, not part of the sum.
2. 14x^2 + 9x - part of the original expression but not directly a sum of the final expression after simplification.
3. 14x^2 - part of the original expression.
4. 22 - this is a constant and not a sum in the context of the simplified expression.

Therefore, none of these options directly represent a sum that matches the final expression. However, if you were looking for components of the sum or individual terms in the original expression, the closest option representing terms you would be adding is 14x^2 + 9x, as it contains the terms inside the parentheses before distribution.

In conclusion, based on the expression \( 70x^2 + 45x - 22 \), the best choice that represents part of a sum (the original terms) would be 14x^2 + 9x.