factoring::
i factored
15A^2B - 10AB^2
into...
(15A - 10B)(15A + 10B)
am i doing it correctly? because im pretty confused.
thanks :]
No, you are confused. This is not a difference of squares. Neither the first term or the last is a perfect square.
Here, there are common factors. What is a common factor of 15 and 10. Say 5.
What is a common factor of A^2, and A?
of B and B^2?
So pull out the common factor..
5AB and multiply it with the remainder..
5AB(3A - 2B).
check that by multipling it out.
To factor the expression 15A^2B - 10AB^2 correctly, you need to identify the common factor and then apply the distributive property.
First, observe that both terms have a common factor of 5. So, you can factor out 5 from both terms.
5 * (3A^2B - 2AB^2)
Next, identify the remaining terms and determine if there are any common factors within them.
In the first term, 3A^2B, the common factors are 3A and B.
In the second term, 2AB^2, the common factors are 2A and B.
Now, you can pull out the common factors from each term:
5 * (3A * AB * B - 2A * B * B)
Simplifying further:
5 * AB * (3A - 2B)
Therefore, the factored form of the expression is:
5AB(3A - 2B)
To verify if you correctly factored the expression, you can multiply it back out:
5AB(3A - 2B) = 5 * AB * 3A - 5 * AB * 2B
= 15A^2B - 10AB^2
The factored form matches the original expression, confirming that your factorization is correct.