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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.
 Q 1: (5x-2)2 = _____?15x2+20x+625x2-20x+410x2-5x+1225x2+20x+4 Q 2: (x-9)2 = _____?81x2+18x-18x2-18x+8181x2+18x-1x2+18x-18 Q 3: (3x-4)2 = _____?9x2-24x+169x2-9x+129x2+24x+16x2-12x+16 Q 4: (4x-3)2 = _____?4x2-4x+86x2-24x+916x2-24x+94x2-12x+9 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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