Find the Square of : 3a - 4b - Mathematics

Find the square of : 3a - 4b

Sum

We know that
( a - b )² = a² + b² - 2ab
( 3a - 4b )² = 9a² + 16b² - 2 x 3a x 4b
= 9a² + 16b² - 24ab

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Chapter 4 Expansions (Including Substitution)
Exercise 4 (A) | Q 1.3 | Page 57

Evaluate the following product without multiplying directly:

95 × 96

Factorise the following:

64a³ – 27b³ – 144a²b + 108ab²

Find the cube of the following binomials expression :

\[4 - \frac{1}{3x}\]

If \[a^2 + \frac{1}{a^2} = 102\] , find the value of \[a - \frac{1}{a}\].

If a² - 5a - 1 = 0 and a ≠ 0 ; find:

Find the squares of the following:
3p - 4q²

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`

If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`

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

Without actually calculating the cubes, find the value of:

(0.2)³ – (0.3)³ + (0.1)³