Special Products

Square the first term

Get twice the product of the two terms

Square the second term

Multiply the terms together

9a^2 + 12ab + 4b^2

6a^2 + 4ab + 4b^2

9a^2 + 6ab + 4b^2

3a^2 + 12ab + 2b^2

a^2 + b^2

a^2 - b^2

2ab

a^2b^2

Square the first term

Square the second term

Multiply the terms together

The operation in between is always subtraction

x^2 + 4y^2

x^2 - 4y^2

x^2 + 2y^2

x^2 - 2y^2

Square the 1st term

Get twice the product of the 2nd and 3rd terms

Add the cubes of each term

Square the 2nd term

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

x^2 + 2y^2 + 3z^2 + 2xy + 2xz + 2yz

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

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

4a^2

-16ab

9c^2

-8ab

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

Get twice the product of the 1st and 2nd terms