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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics7.13 Formula for (a+b)^2 - Square of a Binomial

(a+b) is a binomial and the square of a binomial means (a+b)2.
To find the square of a binomial
That is (a+b)(a+b) = a.a + a.b + b.a + b.b
= a2 + ab + ba + b2
= a2 + ab + ab + b2 ....(Commutative Property)
= a2 + 2ab + b2
\(a+b)2 = a2+2ab+b2

In verbal
[First term+Second term]2=[First term]2+2.[First term].[Second term]+[Second term]2

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: (3x+4)2 = _____?9x3+24x+169x2+14x+169x2+24x+16 Q 2: (2x+1)2 = _____?4x2+4x+14x2+8x+16x2+4x+1 Q 3: (2x+2)2 = _____?4x2+8x+449x2+8x+44x2+8x Q 4: (8x+5)2 = _____?64x2+80x+2564x2+86x+2564x3+80x+25 Q 5: (x+1)2 = _____?2x2+2x+1x2-2x+1x2+2x+1 Q 6: (5x+3)2 = _____?25x2+30x+925x2+25x+925x2+30x+15 Q 7: (9x+9)2 = _____?81x2+16x+8181x2+162x+8191x2+162x+81 Q 8: (x+9)2 = _____?x2+81x+81x2+18x+18x2+18x+81 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!