Divide:
12x^2y - 6xy + 4x^2
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2xy
Thank you!!
Can you please show me how you got this answer, because when you multiply your answer by the original divisor it does not come up to the original problem. Help I do not understand this.
To divide the expression (12x^2y - 6xy + 4x^2) by 2xy, you can follow these steps:
Step 1: Identify the dividend, divisor, and quotient:
The dividend is the expression (12x^2y - 6xy + 4x^2).
The divisor is 2xy.
The quotient is the result of dividing the dividend by the divisor, which is currently unknown.
Step 2: Simplify the expression:
To simplify the expression, we divide each term in the dividend by the divisor:
- First term: (12x^2y)/(2xy) = 6x
- Second term: (-6xy)/(2xy) = -3
- Third term: (4x^2)/(2xy) = 2x
Step 3: Write the quotient:
Now that we have simplified each term, we can write the quotient as:
6x - 3 + 2x
So, the division of (12x^2y - 6xy + 4x^2) by 2xy is equal to 6x - 3 + 2x.
Please note that if this is a simplification problem, you can combine like terms to further simplify the expression.
6x - 3 + 2x/y
When contesting an answer, it'd be nice if you showed your own steps. I assert that
(6x - 3 + 2x/y) * 2xy
= (6x)(2xy)-(3)(2xy)+(2x/y)(2xy)
= 12x^2y - 6xy + 4x^2
Now, if you just want a single fraction, Only the 2x cancels in all terms in the numerator, and you have
6xy - 3y + 2x
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y