 Name: ___________________Date:___________________

 Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

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 = _____?81x2-20x+1081x2+90x+2581x2-90x+2581x2-45x+5 Q 3: (6x-2)2 = _____?36x2+24x+46x2-12x+836x2-24x+418x2-18x+8 Q 4: (4x-3)2 = _____?4x2-4x+84x2-12x+96x2-24x+916x2-24x+9 Q 5: (5x-4)2 = _____?25x2-40x+1645x2+40x+165x2-20x+420x2+20x+10 Q 6: (5x-2)2 = _____?15x2+20x+610x2-5x+1225x2+20x+425x2-20x+4 Q 7: (7x-5)2 = _____?14x2-35x+1049x2+70x-2549x2-70x+2535x2-30x+12 Q 8: (9x-1)2 = _____?81x2+18x-181x2-18x+118x2-2x+149x2-9x+4 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!