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.

shaalaa.com

Is there an error in this question or solution?

Chapter 3: Expansions - Exercise 4.1

Chapter 3 Expansions
Exercise 4.1 | Q 2.1

Write the following cube in expanded form:

(2x + 1)³

Factorise the following:

8a³+ b³ + 12a²b + 6ab²

Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25

Simplify the following products:

`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`

If \[x + \frac{1}{x} = 3\] then find the value of \[x^6 + \frac{1}{x^6}\].

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

Evaluate: (6 − 5xy) (6 + 5xy)

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

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

Using suitable identity, evaluate the following:

999²