4x^2 + 1/4x^2 - 2 - 6x + 3/2x in the form of factors is : 1. (2x + 1/2x)(2x - 1/2x - 3) 2. (2x - 1/2x)(2x - 1/2x + 3) 3. 3(2x + 1/2x)(2x + 1/2x - 3) 4. (2x - 1/2x)(2x - 1/2x - 3)

Mathematics

$4x^2 + \dfrac{1}{4x^2} - 2 - 6x + \dfrac{3}{2x}$ in the form of factors is :
$\Big(2x + \dfrac{1}{2x}\Big)\Big(2x - \dfrac{1}{2x} - 3\Big)$
$\Big(2x - \dfrac{1}{2x}\Big)\Big(2x - \dfrac{1}{2x} + 3\Big)$
$3\Big(2x + \dfrac{1}{2x}\Big)\Big(2x + \dfrac{1}{2x} - 3\Big)$
$\Big(2x - \dfrac{1}{2x}\Big)\Big(2x - \dfrac{1}{2x} - 3\Big)$

Factorisation

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Answer

$\phantom{\Rightarrow} 4x^2 + \dfrac{1}{4x^2} - 2 - 6x + \dfrac{3}{2x} \\[1em] = \Big(4x^2 + \dfrac{1}{4x^2} - 2\Big) - 6x + \dfrac{3}{2x} \\[1em] = \Big(2x - \dfrac{1}{2x}\Big)^2 - 3\Big(2x - \dfrac{1}{2x}\Big) \\[1em] = \Big(2x - \dfrac{1}{2x}\Big)\Big(2x - \dfrac{1}{2x} - 3\Big)$

Hence, Option 4 is the correct option.

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Mathematics

Factorisation

Answer

Related Questions

7(x + 3y)² - 2x - 6y in the form of factors is :
(9x² + 21xy)(x + 6y)
9(x + 3y)(x + 3y - 1)
(x + 3y)(7x + 21y - 2)
7(x + 3y)(x + 3y - 3)

8(x - y) + 5(y - x) in the form of factors is :
3(x + y)
13(x - y)
3(x - y)
13(x + y)

3ab - 6b + 4a² - 8a in the form of factors is :
(a + 2)(4a + 3b)
(a - 2)(4a + 3b)
(a - 2)(4a - 3b)
(a + 2)(4a - 3b)

Factorise by taking out the common factors :
xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)

Mathematics

Factorisation

Answer

Related Questions

7(x + 3y)2 - 2x - 6y in the form of factors is :(9x2 + 21xy)(x + 6y)9(x + 3y)(x + 3y - 1)(x + 3y)(7x + 21y - 2)7(x + 3y)(x + 3y - 3)

8(x - y) + 5(y - x) in the form of factors is :3(x + y)13(x - y)3(x - y)13(x + y)

3ab - 6b + 4a2 - 8a in the form of factors is :(a + 2)(4a + 3b)(a - 2)(4a + 3b)(a - 2)(4a - 3b)(a + 2)(4a - 3b)

Factorise by taking out the common factors :xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)

7(x + 3y)² - 2x - 6y in the form of factors is :
(9x² + 21xy)(x + 6y)
9(x + 3y)(x + 3y - 1)
(x + 3y)(7x + 21y - 2)
7(x + 3y)(x + 3y - 3)

8(x - y) + 5(y - x) in the form of factors is :
3(x + y)
13(x - y)
3(x - y)
13(x + y)

3ab - 6b + 4a² - 8a in the form of factors is :
(a + 2)(4a + 3b)
(a - 2)(4a + 3b)
(a - 2)(4a - 3b)
(a + 2)(4a - 3b)

Factorise by taking out the common factors :
xy(3x² - 2y²) - yz(2y² - 3x²) + zx(15x² - 10y²)