USING PASCAL TRIANGLE TO EXPAND BINOMIALS WORKSHEET

Use the binomial expansion of (a + b)³ to expand and simplify:

Problem 1 :

(x + 1)³

Solution

Problem 2 :

(3x - 1)³

Solution

Problem 3 :

(2x + 5)³

Problem 4 :

(2x + 1/x)³

Solution

Problem 5 :

Expand and simplify:

(1 + √2)³

Solution

Problem 6 :

Find the second term of the expansion (x + 16)³

Solution

Problem 7 :

If (x - 2y)³ = Ax³ + Bx² + Cx + D

find A + B + C + D.

Solution

Use the binomial expansion of (a + b)³ to expand and simplify:

Problem 1 :

(x + 1)³

Solution

Problem 2 :

(x - 2)⁴

Solution

Problem 3 :

(2x + 3)⁴

Solution

Problem 4 :

(x + 1/x)⁴

Solution

Problem 5 :

(2x - 1/x)⁴

Solution

Problem 6 :

Expand (2 + x)⁶

(2 + x)⁶

Solution

Problem 7 :

Use the expansion of a to find the value of (2.01)⁶.

Solution

Problem 8 :

Expand and simplify (2x + 3) (x + 1)⁴.

Solution

Problem 9 :

Find the coefficient of:

a³b² in the expansion of (3a + b)⁵

Solution

Problem 10 :

a³b³ in the expansion of (2a + 3b)⁶.

Solution