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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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What is 12xy times 3x?
12xy * 3x = 36x2y
What is the gcf if 12xy and 24y?
12y
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. ■
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
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 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
What is the GCF of 12xy and 24y?
12y
What is the gcf if 12xy and 24y?
12y
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. ■
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
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 are the greatest common factor for 4xy and 12xy?
4xy
What is the factor of 36xy2 - 48x2y?
12xy(3y - 4x)
