Question

If a(x)=3x²-2x+2,b(x)=x²+4x-3 and c(x)=2x²+4x-4,then find the algebraic expression of [a(x)+b(x)-c(x)]

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Answer 1

Answer:

$3 {x}^{2} - 2x + 3$

Step-by-step explanation:

$a(x) = 3 {x}^{2} - 2x + 2 \\ \\ b(x) = 2 {x}^{2} + 4x - 3 \\ \\ c(x) = 2 {x}^{2} + 4x - 4 \\ \\ a(x) + b(x) - c(x) = (3 {x}^{2} - 2x + 2) + (2 {x}^{2} + 4x - 3) - (2 {x}^{2} + 4x - 4 ) \\ = 3 {x}^{2} - 2x + 3$