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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics7.32 Special Products: (a+b+c)2 = a2+b2+c2+2ab+2bc+2ac

#### Formula : (a+b+c)2 = a2+b2+c2+2ab+2bc+2ac

Example:
Expand (2x+y+z)2
Solution:
(2x+y+z)2 is in the form of (a+b+c)2, we have 2x for a, y for b and z for c.
(2x+y+z)2 = (2x)2+(y)2+(z)2+2.2x.y+2.y.z+2.2x.z
= 4x2+y2+z2+4xy+2yz+4xz

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Expand (2x+2y+z)2.4x2+4y2+z2+8xy+4yz+4xz4x2+4y2+z2+8xy+4yz+4xz4x2+4y2+z2+4xy+4yz+2xz Q 2: Expand (4x+3y+2z)2.16x2+9y2+4z2+24xy+12yz+8xz16x2+9y2+4z2+12xy+12yz+16xz16x2+9y2+4z2+24xy+12yz+16xz Q 3: Expand (4x+2y+z)2.16x2+4y2+z2+16xy+8yz+8xz16x2+4y2+z2+16xy+4yz+16xz16x2+4y2+z2+16xy+4yz+8xz Q 4: Expand (3x+2y+z)2.9x2+4y2+z2+12xy+4yz+6xz9x2+2y2+z2+12xy+4yz+6xz9x2+4y2+z2+12xy+2yz+6xz Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!