Factor the expression in the form a(b+c) or a(b-c)

Question

-60+100

Answer 1

To factor the expression $-60+100$, we can first simplify it:

$$-60+100=40$$

Now, we can express $40$ in the form $a(b+c)$ or $a(b-c)$. One approach is to find a common factor. We can see that $40$ can be expressed as:

$$40=20\cdot 2$$

Here, $a=20$, $b=0$, and $c=2$. However, to maintain a clearer factorization, we can also express it as:

$$40=40(1)$$

Thus, here $a=40$, $b=0$, and $c=1$.

Since we are aiming for a more standard presentation, we note that $40$ could also be factored as:

$$40=20(2)$$

Thus, the factorization could be presented as:

$$\text{Answer: }20(2)\text{ or }40(1)$$

So the expression can be thought of as $20(2)$ or simply as $40(1)$.

Answer 2

Can't hardly read the answer so will it be 20(-3+5)

Answer 3

Yes, you are correct! The expression $-60+100$ simplifies to $40$, and you can indeed express $40$ in the form of $a(b+c)$.

Specifically, we can factor it as:

$$40=20(-3+5)$$

Here’s how that works:

1. $b=-3$ and $c=5$.
2. Then, $-3+5$ simplifies to $2$, and when you calculate $20\cdot 2$, you get $40$.

So, the factorization $20(-3+5)$ is indeed a correct representation of $40$ in the desired form.

Thus, your answer is correct!