Question

a. (x+1) (x-2)                                 e. (3x+1)(x+\(\dfrac{1}{2}\))

b. (2x-3) (x-4)                                 f. (x\(^3\)-2x+6)(5-\(\dfrac{2}{3}\)xy)

c. (x-1)(x+3)(x-2)

d. (x-5)(x+\(\dfrac{1}{2}\))

 

Answer 1

a) \(=x^2-2x+x-2=x^2-x-2\)

b) \(=2x^2-8x-3x+12=2x^2-11x+12\)

c) \(=\left(x^2+2x-3\right)\left(x-2\right)=x^3-2x^2+2x^2-4x-3x+6=x^3-7x+6\)

d) \(=x^2+\dfrac{1}{2}x-5x-\dfrac{5}{2}=x^2-\dfrac{9}{2}x-\dfrac{5}{2}\)

e) \(=3x^2+\dfrac{3}{2}x+x+\dfrac{1}{2}=3x^2+\dfrac{5}{2}x+\dfrac{1}{2}\)

f) \(=5x^3-\dfrac{2}{3}x^4y-10x+\dfrac{4}{3}x^2y+30-4xy\)

Answer 2

a) x^2 - x - 2

b) 2x^2 - 11x + 12

c) x^3 - 7x + 6

d) x^2 - 9x/2 - 5/2

e) 3x^2 + 5x/2 + 3/2

f) 5x^3 - 2/3.x^4.y - 10x + 4/3.x^2.y - 4xy + 30

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