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tiny-mole [99]
3 years ago
11

C) Hence solve (1+2x)³+(1-2x)³=8​

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Answer:

x =  \frac{1}{2}

Step-by-step explanation:

Apply Sum of Cubes

(1 + 2x) {}^{3}  + (1 - 2x) {}^{3}  = ((1 + 2x + (1  - 2x)( {(1 + 2x)}^{2}  - (1 + 2x)(1 - 2x) +  {(1 - 2x)}^{2}

Simplify

= (2)((4 {x}^{2}  + 4x + 1) -( - 4 {x}^{2}    +  1) + ( {4x}^{2}  - 4x + 1)

Simplify

(2)(12 {x}^{2}  + 1) = 8

24 {x}^{2}  + 2 = 8

24 {x}^{2}  = 6

{x}^{2}  =  \frac{1}{4}

x =  \frac{1}{2}

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