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### 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.

 Name: ___________________Date:___________________

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

 Q 1: (x-1)2 = _____?2x2-2x+12x2+x+2x2-2x+1x2-x+1 Q 2: (9x-5)2 = _____?81x2-90x+2581x2-45x+581x2-20x+1081x2+90x+25 Q 3: (6x-2)2 = _____?36x2+24x+46x2-12x+836x2-24x+418x2-18x+8 Q 4: (4x-3)2 = _____?6x2-24x+94x2-4x+84x2-12x+916x2-24x+9 Q 5: (5x-4)2 = _____?45x2+40x+1625x2-40x+1620x2+20x+105x2-20x+4 Q 6: (5x-2)2 = _____?25x2-20x+415x2+20x+610x2-5x+1225x2+20x+4 Q 7: (7x-5)2 = _____?14x2-35x+1035x2-30x+1249x2+70x-2549x2-70x+25 Q 8: (9x-1)2 = _____?81x2+18x-19x2-9x+481x2-18x+118x2-2x+14 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!