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

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

बेरीज

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

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पाठ 3: Expansions - Exercise 4.1

पाठ 3 Expansions
Exercise 4.1 | Q 12.2

Write the following cube in expanded form:

(2x + 1)³

Simplify (a + b + c)² + (a - b + c)²

Evaluate of the following:

(598)³

Find the following product:

\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]

If a - b = 7 and ab = 18; find a + b.

Use the direct method to evaluate the following products:

(x + 8)(x + 3)

Expand the following:
(a + 3b)²

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

The value of 249² – 248² is ______.

Factorise the following:

9x² + 4y² + 16z² + 12xy – 16yz – 24xz