Special Products (Part 2)

They help in simplifying complex algebraic expressions.

They are only useful for advanced mathematics.

They are not applicable in real life.

They are mainly used for memorization purposes.

Square the first term, get twice the product of the two terms, square the second term

Square the first term, subtract the second term, multiply the two terms

Multiply the first and second terms, then square the result

Add the first and second terms, then square the sum

4x^2 + 9y^2 + z^2 + 12xy + 4xz + 6yz

4x^2 + 9y^2 + z^2 + 6xy + 4xz + 12yz

4x^2 + 9y^2 + z^2 + 12xy + 6xz + 4yz

2x^2 + 3y^2 + z^2 + 12xy + 4xz + 6yz

8

16

-14

-56

a^3 + 3a^2b + 3ab^2 + b^3

a^3 + 2a^2b + ab^2 + b^3

a^3 + 3ab^2 + b^3

a^3 + 3a^2b + b^3

Get the cube of the 1st term

Three times the 2nd term and square of the 1st term

Three times the 1st term and square of the 2nd term

Cube of the 2nd term

27u^3 - 135u^2 + 225u - 125

9u^2 - 30u + 25

27u^3 + 135u^2 + 225u + 125

9u^3 - 15u^2 + 25u - 5

Get the cube of the first term

Square the second term

Three times the second term and square of the first term

Cube of the second term