Expand the Following: (A + 3b)2

Expand the following:
(a + 3b)²

Sum

Using (x + y)²
= x² + 2xy + y², we get
(a + 3b)²
= a²+ 2(a)(3b) + (3b)²
= a² + 6ab + 9ab².

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Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 2.1

Factorise the following:

64m³ – 343n³

Evaluate the following using identities:

(2x + y) (2x − y)

Evaluate of the following:

46³+34³

Simplify of the following:

\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]

Evaluate: (4 − ab) (8 + ab)

Find the squares of the following:
(2a + 3b - 4c)

If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`

The value of 249² – 248² is ______.

Factorise the following:

16x² + 4y² + 9z² – 16xy – 12yz + 24xz

Find the value of x³ + y³ – 12xy + 64, when x + y = – 4