Evaluate: (2"X"-3/5)(2"X"+3/5)

Evaluate: `(2"x"-3/5)(2"x"+3/5)`

योग

`(2"x"-3/5)(2"x"+3/5)`

`=(2"x")^2-(3/5)^2` .......[ ∵ (a − b) (a + b) = a²b²]

`=4"x"^2-9/25`

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

अध्याय 12 Identities
Exercise 12 (D) | Q 2.01 | पृष्ठ १५५

Evaluate the following product without multiplying directly:

104 × 96

Factorise the following:

27y³ + 125z³

if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`

Evaluate of the following:

(99)³

If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]

If x + y + z = 8 and xy +yz +zx = 20, find the value of x³ + y³+ z³ −3xyz

Use the direct method to evaluate :
(2a+3) (2a−3)

Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`

If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`