Math

AlgebraQ&A LibraryConsider the following approach to factoring the problem(x - 2)2 + 3(x - 2) - 10.(x - 2)2 + 3(x - 2) - 10= y2 + 3y - 10 Replace x - 2 with y= ( y + 5)( y - 2) Factor= (x - 2 + 5)(x - 2 - 2) Replace y with x - 2= (x + 3)(x - 4) Use this approach to factor (x - 3)2 + 10(x - 3) + 24Start your trial now! First week only $4.99!*arrow_forward*

Question

Consider the following approach to factoring the problem

(x - 2)^{2} + 3(x - 2) - 10.

(x - 2)^{2} + 3(x - 2) - 10

= y^{2} + 3y - 10 Replace x - 2 with y

= ( y + 5)( y - 2) Factor

= (x - 2 + 5)(x - 2 - 2) Replace y with x - 2

= (x + 3)(x - 4) Use this approach to factor (x - 3)^{2} + 10(x - 3) + 24

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