Expansion Formulae Maths - Expansion Formulae

Fill in the boxes with appropriate terms in the steps of expansion.
(2p + 3m + 4n)²
= (2p)² + (3m)² + __ + 2 × 2p × 3m + 2 × __ × 4n + 2 × 2p × __
= __ + 9m² + __ + 12pm + __ + __

Expand :

(7m – 3n – 4k)²

Expand :

(3x + 4y – 5p)²

Expand :

(m + 2n + 3r)²

Expand :

(2p + q + 5)²

Make two cubes of side a and of side b each. Make six parallelopipeds; three of them measuring a × a × b and the remaining three measuring b × b × a. Arrange all these solid figures properly and make a cube of side (a + b).

Simplify :

(5x – 7y)³ + (5x + 7y)³

Simplify :

(4a – 3)³ – (4a + 3)³

Simplify :

(3r – 2k)³ + (3r + 2k)³

Simplify :

(2a + b)³ – (2a – b)³

(5m + 3n) (5m – 3n) = ___ – ___ = ___ – ___

(98)² = (100 – 2)² = 10000 – ___ + ___ = ___

(101)² = (100 + 1)² = ___+ ___ + 1² = ___

(2x – 5y)² = __ – 20xy + __

(x + 2y)² = x² + ___ + 4y²

Simplify :

(7a – 6b + 5c)² + (7a + 6b – 5c)²

Simplify :

(3k – 4r – 2m)² – (3k + 4r – 2m)²

Simplify :

(x – 2y + 3)² + (x + 2y – 3)²