(3a - 1)² - 6a + 2 is equal to: 1. (3a - 1)(a - 1) 2. 3(3a - 1)(a - 1) 3. (3a - 1)(a + 1) 4. 3(3a - 1)(a + 1)

Solving, ⇒ (3a - 1)2 - 6a + 2 ⇒ (3a)2 + 12 - 2 x 3a x 1 - 6a + 2 ⇒ 9a2 + 1 - 6a - 6a + 2 ⇒ 9a2 - 12a + 3 ⇒ 3(3a2 - 4a + 1) ⇒ 3(3a2 - 3a - a + 1) ⇒ 3[3a(a - 1) - 1(a - 1)] ⇒ 3(3a - 1)(a - 1). Hence, option 2 is the correct option.

Mathematics

(3a - 1)² - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
(3a - 1)(a + 1)
3(3a - 1)(a + 1)

Factorisation

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Answer

Solving,

⇒ (3a - 1)² - 6a + 2

⇒ (3a)² + 1² - 2 x 3a x 1 - 6a + 2

⇒ 9a² + 1 - 6a - 6a + 2

⇒ 9a² - 12a + 3

⇒ 3(3a² - 4a + 1)

⇒ 3(3a² - 3a - a + 1)

⇒ 3[3a(a - 1) - 1(a - 1)]

⇒ 3(3a - 1)(a - 1).

Hence, option 2 is the correct option.

Answered By

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Mathematics

(3a - 1)² - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
(3a - 1)(a + 1)
3(3a - 1)(a + 1)

Factorisation

Answer

Related Questions

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Mathematics

(3a - 1)2 - 6a + 2 is equal to:(3a - 1)(a - 1)3(3a - 1)(a - 1)(3a - 1)(a + 1)3(3a - 1)(a + 1)

Factorisation

Answer

Related Questions

L.C.M. of x2 + 3x + 2 and x2 - 2x - 3 in simplest form is:(x + 1)2(x + 2)(x + 3)(x2 + 3x + 2)(x2 - 2x - 3)(x + 1)(x + 2)(x - 3)none of these

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13\dfrac{1}{3}31​ x2 - 2x - 9 is equal to:13\dfrac{1}{3}31​ (x - 9)(x + 3)13\dfrac{1}{3}31​ (x - 9)(x - 3)13\dfrac{1}{3}31​ (x + 9)(x - 3)13\dfrac{1}{3}31​ (x + 9)(x + 3)

(x2 + 3x) men can do a piece of work in (x2 - 2x) days, then one day work of 1 man is :x+3x−2\dfrac{x + 3}{x - 2}x−2x+3​(x2 + 3x)(x2 - 2x)x−2x+3\dfrac{x - 2}{x + 3}x+3x−2​none of these

(3a - 1)² - 6a + 2 is equal to:
(3a - 1)(a - 1)
3(3a - 1)(a - 1)
(3a - 1)(a + 1)
3(3a - 1)(a + 1)

L.C.M. of x² + 3x + 2 and x² - 2x - 3 in simplest form is:
(x + 1)²(x + 2)(x + 3)
(x² + 3x + 2)(x² - 2x - 3)
(x + 1)(x + 2)(x - 3)
none of these

H.C.F of x² + 3x + 2 and x² - 2x - 3 is :
(x + 1)
(x + 1)(x + 2)(x - 3)
1
none of these

$\dfrac{1}{3}$ x² - 2x - 9 is equal to:
$\dfrac{1}{3}$ (x - 9)(x + 3)
$\dfrac{1}{3}$ (x - 9)(x - 3)
$\dfrac{1}{3}$ (x + 9)(x - 3)
$\dfrac{1}{3}$ (x + 9)(x + 3)

(x² + 3x) men can do a piece of work in (x² - 2x) days, then one day work of 1 man is :
$\dfrac{x + 3}{x - 2}$
(x² + 3x)(x² - 2x)
$\dfrac{x - 2}{x + 3}$
none of these