- #1
dcgirl16
- 27
- 0
how do i factor this
36(2x-y)^2-25(u-2y)^2
i was thinking to expand the brackets first?? but I am not really sure
36(2x-y)^2-25(u-2y)^2
i was thinking to expand the brackets first?? but I am not really sure
To factor a quadratic expression, you need to find two numbers that multiply to the first term and add to the second term. In this case, the first term is 36 and the second term is -25. Therefore, the factors of 36 that add up to -25 are -9 and -4.
The difference of squares is a special case of factoring a quadratic expression where the expression is in the form of a2 - b2. In this case, the expression is 36(2x-y)^2-25(u-2y)^2, which can be rewritten as (6(2x-y))^2 - (5(u-2y))^2. This is a difference of squares because the first term is squared and the second term is squared with a negative sign.
To factor a difference of squares, you can use the formula a2 - b2 = (a+b)(a-b). Applying this to the expression (6(2x-y))^2 - (5(u-2y))^2, we get (6(2x-y) + 5(u-2y))(6(2x-y) - 5(u-2y)). This is the factored form of the expression.
Factoring expressions helps simplify them and make them easier to work with. It also allows us to solve equations and find the roots of a quadratic function. In some cases, factoring can also help us identify special patterns or relationships within the expression.
No, the quadratic formula is used to solve quadratic equations, not to factor expressions. However, you can use the quadratic formula to find the roots of the quadratic expression after it has been factored.