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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
7.32 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 (4x+2y+z)2.
16x2+4y2+z2+16xy+4yz+16xz
16x2+4y2+z2+16xy+8yz+8xz
16x2+4y2+z2+16xy+4yz+8xz

Q 2: Expand (4x+y+z)2.
16x2+y2+z2+8xy+2yz+8xz
16x2+y2+z2+8xy+2yz+16xz
16x2+y2+z2+4xy+2yz+8xz

Q 3: Expand (3x+y+z)2.
9x2+y2+z2+6xy+2yz+3xz
9x2+y2+z2+6xy+yz+6xz
9x2+y2+z2+6xy+2yz+6xz

Q 4: Expand (2x+2y+z)2.
4x2+4y2+z2+8xy+4yz+4xz
4x2+4y2+z2+8xy+4yz+4xz
4x2+4y2+z2+4xy+4yz+2xz

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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