Grade 8 - Mathematics 7.23 Special Products: (a+b)^{2} = a^{2}+2ab+b^{2}

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

Example:
Expand (3x+4y)^{2} Solution:
(3x+4y)^{2 }is in the form of (a+b)^{2},
we have 3x for a and 4y for b
=(3x+4y)^{2}
= (3x)^{2}+2.3x.4y+(4y)^{2}
= 9x^{2}+24xy+16y^{2}

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