Grade 8 - Mathematics 7.30 Special Products: (a-b)^{3} = a^{3}-3a^{2}b+3ab^{2}-b^{3}

Formula : (a-b)^{3} = a^{3}-3a^{2}b+3ab^{2}-b^{3}

Example:
Expand (a-5b)^{3} . Solution:
Using above formula, Let a = a and b = 5b in the above equation
(a-b)^{3} = (a-5b)^{3}
= (a)^{3}-3(a)^{2}(5b)+3(a)(5b)^{2}-(5b)^{3}
= a^{3}-15a^{2}b+75ab^{2}-125b^{3}

Directions: Solve the following problems. Also write at least ten examples of your own.