2(y + 5)
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2y(2y - 1)(2y - 3)
2y(2y - 1)(2y - 3)
Example: factor 2y+6Both 2y and 6 have a common factor of 2:2y is 2 × y6 is 2 × 3So you can factor the whole expression into:2y+6 = 2(y+3)So, 2y+6 has been "factored into" 2 and y+3
(3 - 2y)(3 + 2y)
2y(3x + 1)
2y(2y - 1)(2y - 3)
2y(2y - 1)(2y - 3)
Example: factor 2y+6Both 2y and 6 have a common factor of 2:2y is 2 × y6 is 2 × 3So you can factor the whole expression into:2y+6 = 2(y+3)So, 2y+6 has been "factored into" 2 and y+3
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!
(3 - 2y)(3 + 2y)
-2y = 10 2y = -10 y = -5
-18y2(2y - 1)(2y + 1)
2y(3x + 1)
7(t - 2y)(t + 2y)
(5x - 2y)(5x + 2y)
Any pair of numbers where the 'y' is 5 more than the 'x'. There are an infinite number of suitable pairs. 2y-2x=10 2y-2x+2x=10+2x 2y=2x+10 divide both side by 2. y=x+5
5x + (3y-x) + (10-2y) = 5x + 3y - x + 10 -2y = 5x - x + 3y - 2y + 10 = 4x + y +10