5
12y
It is an algebraic expression with its plus or minus signs missing
-9x^2 - 15x
A quadratic. For example, x^2 + 3x - 7xy - 12y - 25 = 0
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
It is: 7xy/21yz = x/3z when simplified
12xy
3x x 4y = 12xy
12xy * 3x = 36x2y
12xy
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.
1xy
4
12y
12y
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. ■
2p = 4y - 12xy - 6x, 3q = 12 - 15y so 2p - 3q = 4y - 12xy - 6x - (12 - 15y) = 4y - 12xy - 6x - 12 + 15y = 19y -12xy - 6x - 12