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The expressions (4xy - 9xy) and (12xy) are called terms because they each represent a single mathematical entity within an algebraic expression. Terms can consist of constants, variables, or the product of constants and variables. In this case, (4xy), (-9xy), and (12xy) are all terms that involve the variable (xy) multiplied by coefficients. When combined, they can be simplified and manipulated in algebraic operations.

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7mo ago

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What is 3x times 4y?

3x x 4y = 12xy


What is 12xy times 3x?

12xy * 3x = 36x2y


What is 3x times 4y equals?

12xy


What is a good trick for adding like terms in algebra?

Look for the same variable(s) which have exactly the same exponent(s), group them together, factor out their common variable, then add their coefficients.For example,5x2y3 - 1 - 3x2 + 7y - 10x2y3 - 12xy + 9x2 + 4y + 2= 5x2y3 - 10x2y3 - 3x2 + 9x2 + 7y + 4y - 12xy - 1 + 2= (5 - 10)x2y3 + (-10 - 3)x2 + (7 + 4)y - 12xy + 1= -5x2y3 - 13x2 + 11y - 12xy + 1


If P equals 2y-6xy-3x and Q equals 4-5y find 2P-3Q and simplify your answer?

2p = 4y - 12xy - 6x, 3q = 12 - 15y so 2p - 3q = 4y - 12xy - 6x - (12 - 15y) = 4y - 12xy - 6x - 12 + 15y = 19y -12xy - 6x - 12


If the GCF of two expressions is 12xy and one expression is 36xy give one example of the other x?

The first example that comes to mind is that since 12xy is a factor of 36xy, you could use 12xy. This would have the GCF that you want. ■


What is the GCF of 12xy and 24y?

12y


What is the gcf if 12xy and 24y?

12y


3xsquare-2ysquare equals 9xsquare plus 4ysquare-12xy how do you reach this answer?

3x2 - 2y2 = 9x2 + 4y2 - 12xy (subtract 3x2 and add 2y2 to both sides) 0 = 9x2 -3x2 + 4y2 + 2y2 - 12xy 0 = 6x2 + 6y2 - 12xy (divide by 6 to both sides) 0 = x2 + y2 - 12xy or x2 - 2xy + y2 = 0 (x - y)(x - y) = 0 x - y = 0 x = y


What is 12xy - 7xy simplified?

5


What is 8 4 9y 10-8x 12xy-3y?

It is an algebraic expression with its plus or minus signs missing


What are the greatest common factor for 4xy and 12xy?

4xy