Simplify by Using Formula : (5x - 9) (5x + 9)

Simplify by using formula :
(5x - 9) (5x + 9)

योग

(5x - 9) (5x + 9)
= (5x)²- (9)²
= 25x² - 81
(Using identity : (a + b) (a - b) = a² - b²).

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अध्याय 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 4.1

Write in the expanded form:

`(m + 2n - 5p)^2`

Find the cube of the following binomials expression :

\[2x + \frac{3}{x}\]

Evaluate of the following:

(9.9)³

If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =

Use identities to evaluate : (502)²

Use the direct method to evaluate :
(x+1) (x−1)

If x + y = 1 and xy = -12; find:
x² - y².

Factorise the following:

9y² – 66yz + 121z²

Without actually calculating the cubes, find the value of:

`(1/2)^3 + (1/3)^3 - (5/6)^3`

Find the value of x³ – 8y³ – 36xy – 216, when x = 2y + 6