If P + Q = 8 and P - Q = 4, Find: P2 + Q2

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

Sum

Putting pq = 12 in (i) we get :
p² + q²
= 64 - 2(12)
= 64 - 24
= 40.

shaalaa.com

Is there an error in this question or solution?

Chapter 3: Expansions - Exercise 4.1

Chapter 3 Expansions
Exercise 4.1 | Q 12.2

Simplify the following

`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`

If a + b + c = 9 and ab + bc + ca = 23, find the value of a² + b² + c².

Evaluate:

25³ − 75³ + 50³

If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =

If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]

Find the square of `(3a)/(2b) - (2b)/(3a)`.

Evaluate : (4a +3b)² - (4a - 3b)² + 48ab.

Evaluate: (5xy − 7) (7xy + 9)

Expand the following:

(–x + 2y – 3z)²

Without actually calculating the cubes, find the value of:

(0.2)³ – (0.3)³ + (0.1)³