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### Grade 8 - Mathematics7.23 Special Products: (a+b)2 = a2+2ab+b2

#### Formula: (a+b)2 = a2+2ab+b2

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
= 9x2+24xy+16y2

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

 Name: ___________________Date:___________________

### Grade 8 - Mathematics7.23 Special Products: (a+b)2 = a2+2ab+b2

 Q 1: Expand (7x+2y)249x2+28xy+2y27x2+28xy+4y249x2+14xy+4y249x2+28xy+4y2 Q 2: Expand (8x+3y)264x2+24xy+9y264x2+48xy+9y264x2+48xy+3y28x2+48xy+9y2 Q 3: Expand (8x+7y)264x2+112xy+7y264x2+112xy+49y28x2+112xy+49y264x2+56xy+49y2 Q 4: Expand (5x+2y)225x2+20xy+4y25x2+20xy+4y225x2+20xy+2y225x2+10xy+4y2 Q 5: Expand (2x+3y)24x2+12xy+9y22x2+12xy+9y24x2+12xy+3y24x2+6xy+9y2 Q 6: Expand (4x+9y)24x2+72xy+81y216x2+36xy+81y216x2+72xy+81y216x2+72xy+9y2 Q 7: Expand (4x+7y)216x2+56xy+49y216x2+28xy+49y216x2+56xy+7y24x2+56xy+49y2 Q 8: Expand (3x+5y)29x2+30xy+5y29x2+30xy+25y29x2+15xy+25y23x2+30xy+25y2 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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