What are the factors of the expression (y-2)(x+3)?

(y-2) (x + 3) are factors of the xy + 3y-2x-6 form

Factoring is a statement of a form of addition into a multiplication

There are several factoring of the following forms:

factoring:

ax + ay + az = a (x + y + z + ...)

ax + bx -cx = x (a + b-c)

factoring:

x²-y² = (x-y) (x + y)

factoring:

x² + 2xy + y² = (x + y) (x + y) = (x + y)²

x²-2xy + y² = (x-y) (x-y) = (x-y)²

factoring:

 ax² + bx + c = (x + m) (x + n) with m x n = c and m + n = b

factoring:

can be completed in 2 ways

a. distributive way

ax² + bx + c = ax² + px + qx + c with

p x q = a x c and

p + q = b

b. formula way

ax² + bx + c = 1/a (ax + m) (ax + n) with

m x n = a x c and

m + n = b

So from an addition form, for example:

ax + ay = a (x + y), then a and (x + y) are factors of the form ax + ay

So (y-2) (x + 3) are factors of the form xy + 3y-2x-6

quadratic factoring equation

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Keywords: factoring, quadratic equation, addition into a multiplication

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions