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.

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Chapter 3: Expansions - Exercise 4.1

Chapter 3 Expansions
Exercise 4.1 | Q 12.2

Write the following cube in expanded form:

`[3/2x+1]^3`

Factorise the following:

8a³ – b³ – 12a²b + 6ab²

If a² + b² + c² = 16 and ab + bc + ca = 10, find the value of a + b + c.

If \[x - \frac{1}{x} = 7\], find the value of \[x^3 - \frac{1}{x^3}\].

If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`

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

Use the direct method to evaluate :
(3b−1) (3b+1)

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

The coefficient of x in the expansion of (x + 3)³ is ______.

Expand the following:

(3a – 2b)³