Expand: $((2 x - 1)^{2})^{2} - 36 x^{2}$

(4 x^{2} - 10 x + 1) (4 x^{2} + 2 x + 1)

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(4 x^{2} - 10 x + 1) (4 x^{3} - 2 x + 1)

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(4 x^{2} - 10 x + 1) (4 x^{2} - 4 x + 1)

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(4 x^{2} - 10 x - 1) (4 x^{2} - 2 x - 1)

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Solution

The correct option is B $(4 x^{2} - 10 x + 1) (4 x^{2} + 2 x + 1)$
$[(2 x - 1)^{2}]^{2} - 36 x^{2} = (4 x^{2} - 4 x + 1)^{2} - (6 x)^{2}$

$= (4 x^{2} - 4 x + 1 - 6 x) (4 x^{2} - 4 x + 1 + 6 x)$ , since $a^{2} - b^{2} = (a - b) (a + b)$

$= (4 x^{2} - 10 x + 1) (4 x^{2} + 2 x + 1)$ , simplify

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Similar questions

Q. Tick (✓) the correct answer:
(2x + 5)(2x − 5) = ?
(a) (4x² + 25)
(b) (4x² − 25)
(c) (4x² − 10x + 25)
(d) (4x² + 10x − 25)

Tick $(✓)$ the correct answer in each of the following:
$(2 x + 5) (2 x - 5) = ?$
(a) $(4 x^{2} + 25)$
(b) $(4 x^{2} - 25)$
(c) $(4 x^{2} - 10 x + 25)$
(d) $(4 x^{2} + 10 x - 25)$

Dividing $4 x^{2} - 10 x + 6$ by $2$ , we get ______.

Q. If

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

, then find

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

Q. Simplify:

(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 2 x^{2})

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Expand: ((2x−1)2)2−36x2

The correct option is B (4x2−10x+1)(4x2+2x+1)[(2x−1)2]2−36x2=(4x2−4x+1)2−(6x)2=(4x2−4x+1−6x)(4x2−4x+1+6x), since a2−b2=(a−b)(a+b)=(4x2−10x+1)(4x2+2x+1), simplify

Expand: $((2 x - 1)^{2})^{2} - 36 x^{2}$

The correct option is B $(4 x^{2} - 10 x + 1) (4 x^{2} + 2 x + 1)$
$[(2 x - 1)^{2}]^{2} - 36 x^{2} = (4 x^{2} - 4 x + 1)^{2} - (6 x)^{2}$

$= (4 x^{2} - 4 x + 1 - 6 x) (4 x^{2} - 4 x + 1 + 6 x)$ , since $a^{2} - b^{2} = (a - b) (a + b)$

$= (4 x^{2} - 10 x + 1) (4 x^{2} + 2 x + 1)$ , simplify