2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
The is a straight line parallel to the y-axis with an x intercept at -3.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
(2x2+4xy-3)-(x2-2xy-4)Answer: x2+6x+1
just put in the numberssinze x = 3 and y = 2then(4*3*2) - (3) = 21
If x=3 and y=2, 4xy = 4(3)(2) = 12(2) = 24
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
4xy + 6xz When factorising algebraic expressions treat them just as ordinary numbers. Ascertain what the common factors are. The factors of 4xy are 2 x 2 x 'x' x y The factors of 6xz are 2 x 3 x 'x' x z The factors common to both expressions are 2 and 'x'. Therefore, 4xy + 6xz = 2x(2y + 3z)
The is a straight line parallel to the y-axis with an x intercept at -3.
rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
3
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
(2x2+4xy-3)-(x2-2xy-4)Answer: x2+6x+1
7
(x + 3)(x + 4y)
The line y = 3 is parallel to the x-axis and so does not intersect it at any point.