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Grade 8 - Mathematics
7.23 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.
Q 1: Expand (2x+4y)2
2x2+16xy+16y2
4x2+16xy+4y2
4x2+16xy+16y2
4x2+8xy+16y2

Q 2: Expand (7x+2y)2
49x2+28xy+2y2
49x2+14xy+4y2
49x2+28xy+4y2
7x2+28xy+4y2

Q 3: Expand (4x+9y)2
16x2+72xy+81y2
16x2+36xy+81y2
16x2+72xy+9y2
4x2+72xy+81y2

Q 4: Expand (8x+7y)2
64x2+56xy+49y2
64x2+112xy+49y2
64x2+112xy+7y2
8x2+112xy+49y2

Q 5: Expand (8x+3y)2
8x2+48xy+9y2
64x2+48xy+9y2
64x2+24xy+9y2
64x2+48xy+3y2

Q 6: Expand (4x+7y)2
4x2+56xy+49y2
16x2+56xy+49y2
16x2+28xy+49y2
16x2+56xy+7y2

Q 7: Expand (3x+2y)2
3x2+12xy+4y2
9x2+6xy+4y2
9x2+12xy+4y2
9x2+12xy+2y2

Q 8: Expand (5x+2y)2
5x2+20xy+4y2
25x2+10xy+4y2
25x2+20xy+4y2
25x2+20xy+2y2

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Question 10: This question is available to subscribers only!


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