Evaluate: (2"A"+1/"2a")(2"A"-1/"2a")

Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`

योग

`(2"a"+1/"2a")(2"a"-1/"2a")`

`=(2"a")^2-(1/"2a")^2` ......[ ∵ (a − b) (a + b) = a²b²]

`=4"a"^2-1/"4a"^2`

shaalaa.com

क्या इस प्रश्न या उत्तर में कोई त्रुटि है?

अध्याय 12: Identities - Exercise 12 (D) [पृष्ठ १५५]

अध्याय 12 Identities
Exercise 12 (D) | Q 2.04 | पृष्ठ १५५

Expand the following, using suitable identity:

(–2x + 3y + 2z)²

Give possible expression for the length and breadth of the following rectangle, in which their area are given:

Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`

If a − b = 4 and ab = 21, find the value of a³ −b³

If the volume of a cuboid is 3x² − 27, then its possible dimensions are

If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`

Expand the following:
(x - 5) (x - 4)

Evaluate, using (a + b)(a - b)= a² - b².
999 x 1001

If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`

If a² + b² + c² = 41 and a + b + c = 9; find ab + bc + ca.