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 4: Expansions - Exercise 4.1

अध्याय 4 Expansions
Exercise 4.1 | Q 2.2

Simplify (a + b + c)² + (a - b + c)² + (a + b - c)²

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

If a + b + c = 9 and ab + bc + ca =23, then a³+ b³+ c³ − 3abc =

If \[\frac{a}{b} + \frac{b}{a} = 1\] then a³ + b³ =

If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`

Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)

Expand the following:
(2x - 5) (2x + 5) (2x- 3)

Simplify by using formula :

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

Evaluate the following without multiplying:

(103)²

If p + q = 8 and p - q = 4, find:
p²+ q²