Well, isn't that just a happy little math question! Let's take a look at these expressions together. The factors of 3x - 2y are (3x - 2y) and 1, while the factors of 3x + 2y are (3x + 2y) and 1. Remember, in math, factors are numbers or expressions that can be multiplied together to get a specific result. Just like painting, math can be a beautiful and creative process!
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3x = 2y + 7 The standard form is: 3x - 2y - 7 = 0
It is 14*(3x + 2y)
(3x - 2y)(9x^2 + 6xy + 4y^2)
Solve the simultaneous equations by eliminating one of the variables and solving for the other variable, substitute the found value back into one of the equations to solve for the eliminated variable, and then substitute both values found into the other equation as a check:3x + 2y = 5x + 2y = 7{1} - {2} → (3x - x) + (2y - 2y) = 5 - 7 → 2x = -2As there is 27 in both equations, subtract one from the other ({1}-{2}) and then solve {3}2x = -2→ x = -1Substituting back into equation {2}:x + 2y = 7-1 + 2y = 7→ 2y = 8→ y = 4Checking by substituting for x and y in {1}:3x + 2y = 53×-1 + 2×4 = -3 + 8 = 5 as required→ The required solution is x = -1, y = 4.
If that's -9x^3 - 3x^2 + 3x + 1, that factors to (1 - 3x^2)(1 + 3x)