Expand the Following: (2p - 3q)2

Expand the following:
(2p - 3q)²

योग

(2p - 3q)²
= (2p)² - 2(2p)(3q) + (3q)²
= 4p² - 12pq + 9q².

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अध्याय 3: Expansions - Exercise 4.1

अध्याय 3 Expansions
Exercise 4.1 | Q 2.2

Factorise the following:

8a³ – b³ – 12a²b + 6ab²

Factorise:

27x³ + y³ + z³ – 9xyz

Evaluate of the following:

(103)³

Find the value of 64x³ − 125z³, if 4x − 5z = 16 and xz = 12.

Find the following product:

(4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]

Evalute : `((2x)/7 - (7y)/4)^2`

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

If m - n = 0.9 and mn = 0.36, find:
m + n

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