Find the Squares of the Following: 9m - 2n - Mathematics

Find the squares of the following:
9m - 2n

Sum

Using (x + y)²
= x² + 2xy + y², we get
(9m - 2n)²
= (9m)² + 2(9m)(-2n) + (-2n)²
= 81m²- 36mn + 4n².

shaalaa.com

Is there an error in this question or solution?

Chapter 4: Expansions - Exercise 4.1

Chapter 4 Expansions
Exercise 4.1 | Q 3.1

Evaluate the following product without multiplying directly:

95 × 96

Factorise the following:

27y³ + 125z³

Simplify the following products:

`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`

If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]

Use the direct method to evaluate :
(0.5−2a) (0.5+2a)

Expand the following:
(a + 4) (a + 7)

Simplify by using formula :

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

Evaluate, using (a + b)(a - b)= a² - b².
999 x 1001

If `x + (1)/x = 3`; find `x^2 + (1)/x^2`

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