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2x² - 5/6 x +1/12 PLS ANS

Sagot :

devishri1977

Answer:

Step-by-step explanation:

[tex]2x^{2} - \frac{5}{6}x + \frac{1}{12}[/tex]

Multiply the whole expression by 12

[tex]= 12*2x^{2} - 12*\frac{5}{6}x + 12*\frac{1}{12}\\\\= 24x^{2}-2*5x + 1\\\\=24x^{2}-10x + 1[/tex]

Sum = - 10

Product = 24

Factors = -6 , -4   {(-6)+(-4) = -10   & (-6)*(-4) = 24}

24x² - 10x + 1 = 24x² -6x - 4x + 1   {Rewrite the middle term using the factors}

    = (24x² - 6x) - 4x + 1

    = 6x (4x - 1) - (4x - 1)

  = (4x - 1)(6x - 1)

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