Subtract 7x - 9 from 2x^2 - 11.
Understand the Problem
The question is asking us to perform a subtraction of two algebraic expressions: we need to subtract the expression 7x - 9 from the expression 2x^2 - 11. This involves rearranging the expressions and simplifying the result.
Answer
$$ 2x^2 - 7x - 2 $$
Answer for screen readers
The final answer is:
$$ 2x^2 - 7x - 2 $$
Steps to Solve
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Write the subtraction problem as an equation
We need to subtract the first expression from the second. This can be written as:
$$ (2x^2 - 11) - (7x - 9) $$ -
Distribute the negative sign
Next, we need to distribute the negative sign across the second expression:
$$ 2x^2 - 11 - 7x + 9 $$ -
Combine like terms
Now, we will combine the constant terms and the linear terms:
The constant terms are $-11 + 9$ which gives $-2$
The linear term is $-7x$
Therefore, combining gives us:
$$ 2x^2 - 7x - 2 $$
The final answer is:
$$ 2x^2 - 7x - 2 $$
More Information
This expression represents the result of subtracting the two algebraic expressions. It can be further analyzed or factored, but the answer is in its simplest form.
Tips
- Forgetting to distribute the negative sign correctly can lead to errors in combining like terms. Always be careful with signs when subtracting expressions.
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