Question

simplify the following expression and then find the numerical value for x=-2
(i) 3(2x-4)+x²+5
(ii) -2(-3x+5)-2(x+4)​

Answer 1

3{2x-2+(-4)}-2x-2+5
3(-8)4+5
-24+4+5
-15

Answer 2

SOLUTION

TO DETERMINE

Simplify the following expression

(i) 3(2x-4)+x²+5

(ii) -2(-3x+5)-2(x+4)

Then find the numerical value for x = - 2

EVALUATION

ANSWER TO QUESTION : 1

The given expression is

$\sf{ 3(2x - 4) + {x}^{2} + 5\: }$

$= \sf{ 6x - 12+ {x}^{2} + 5\: }$

$= \sf{ {x}^{2} + 6x - 7\: }$

Which is the required simplest form

Hence the value of the expression for x = - 2

$\sf{ = {( - 2)}^{2} + 6 \times ( - 2) - 7 \: }$

$\sf{ = 4 - 12 - 7 \: }$

$\sf{ = - 15 \: }$

ANSWER TO QUESTION : 2

The given expression is

$= \sf{ - 2( - 3x + 5) - 2(x + 4)\: }$

$= \sf{ 6x - 10 - 2x - 8\: }$

$= \sf{ 4x - 18\: }$

Which is the required simplest form

Which is the required simplest formHence the value of the expression for x = - 2

$= \sf{ 4 \times ( - 2) - 18\: }$

$\sf{ = - 8 - 18 \: }$

$\sf{ = - 26 \: }$

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