Question

SIMPLIFY :-

x²-5x-14/x²-4 × 2x²-x-6/2x²-11x-21


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Answer 1

Answer:

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Answer 2

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SIMPLIFY :-

x²-5x-14/x²-4 × 2x²-x-6/2x²-11x-21

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Solution

(I am using letter expression)

a.)Group like terms and simplify.

$- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - 6)= 6x - 1$

b.)Expand brackets.

$2(x - 9) + 6(-x + 2) + 4x = 2x - 18 - 6x + 12 + 4x$

Group like terms and simplify.

$= (2x - 6x + 4x) + (- 18 + 12) = - 6$

c.)Group like terms and simplify.

$3x2 + 12 + 9x - 20 + 6x2 - x= (3x2 + 6x2) + (9x - x) + (12 - 20)= 9x2 + 8x - 8$

d.)Expand brackets.

$(x + 2)(x + 4) + (x + 5)(- x - 1)= x2 + 4x + 2x + 8 - x2 - x - 5x - 5$

e.)Group like terms.

$= (x2 - x2) + (4x + 2x - x - 5x) + (8 - 5)= 3$

e.)Expand and group.

$1.2(x - 9) - 2.3(x + 4)= 1.2x - 10.8 - 2.3x - 9.2= -1.1x - 20$

f.)Rewrite as follows.

$(x2y)(xy2) = (x2 x)(y y2)$

g.)Use rules of exponential.

$= x3 y3$

h.)Rewrite expression as follows.

$(-x2y2)(xy2) = -(x2 x)( y2 y2)$

i.)Use rules of exponential.

$= - x3 y4$

Hence Your Answer is $= - x3 y4$/= - x3 y4