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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Grade 8 - Mathematics7.16 Formula for (a-b)2

(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 using above formula. Also write at least ten examples of your own.
 Q 1: (6x-2)2 = _____?6x2-12x+818x2-18x+836x2+24x+436x2-24x+4 Q 2: (9x-1)2 = _____?18x2-2x+1481x2-18x+181x2+18x-19x2-9x+4 Q 3: (x-9)2 = _____?81x2+18x-18x2+18x-18x2-18x+8181x2+18x-1 Q 4: (9x-5)2 = _____?81x2-20x+1081x2+90x+2581x2-90x+2581x2-45x+5 Q 5: (5x-2)2 = _____?15x2+20x+610x2-5x+1225x2-20x+425x2+20x+4 Q 6: (7x-5)2 = _____?49x2-70x+2514x2-35x+1049x2+70x-2535x2-30x+12 Q 7: (3x-4)2 = _____?9x2-24x+169x2-9x+12x2-12x+169x2+24x+16 Q 8: (4x-3)2 = _____?4x2-4x+84x2-12x+916x2-24x+96x2-24x+9 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!