Simplify- 3x2-3x2-2x-3

The correct option is A None of these y= 3 x ^ 2 3 x ^ 2 2x 3 = 3( x ^ 2 1 ) #160; x ^ 2 3x+x 3 = 3( x 1 ) ( x+1 ) #160; ( x 3 ) ( x+1 ...

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Byju's Answer

Standard XII

Mathematics

Law of Reciprocal

Simplify: 3...

Question

Simplify: $\frac{3 x^{2} - 3}{x^{2} - 2 x - 3}$

\frac{3 (x - 1)}{x + 3}

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\frac{3 (x + 1)}{x - 3}

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\frac{5 (x - 1)}{x - 3}

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None of these

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Solution

The correct option is A None of these
$y = \frac{3 x^{2} - 3}{x^{2} - 2 x - 3}$
$= \frac{3 (x^{2} - 1)}{x^{2} - 3 x + x - 3}$
$= \frac{3 (x - 1) (x + 1)}{(x - 3) (x + 1)}$
$∴ y = \frac{3 (x - 1)}{(x - 3)} \forall x ϵ R - {- 1}$

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Solve :

$(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

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Simplify: 3x2−3x2−2x−3

The correct option is A None of thesey=3x2−3x2−2x−3=3(x2−1)x2−3x+x−3=3(x−1)(x+1)(x−3)(x+1)∴y=3(x−1)(x−3)∀xϵR−{−1}

Simplify: $\frac{3 x^{2} - 3}{x^{2} - 2 x - 3}$

The correct option is A None of these
$y = \frac{3 x^{2} - 3}{x^{2} - 2 x - 3}$
$= \frac{3 (x^{2} - 1)}{x^{2} - 3 x + x - 3}$
$= \frac{3 (x - 1) (x + 1)}{(x - 3) (x + 1)}$
$∴ y = \frac{3 (x - 1)}{(x - 3)} \forall x ϵ R - {- 1}$