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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.38 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: (9x-5)2 = _____?
81x2-45x+5
81x2+90x+25
81x2-90x+25
81x2-20x+10

Q 2: (4x-3)2 = _____?
4x2-12x+9
4x2-4x+8
16x2-24x+9
6x2-24x+9

Q 3: (6x-2)2 = _____?
6x2-12x+8
36x2+24x+4
18x2-18x+8
36x2-24x+4

Q 4: (7x-5)2 = _____?
49x2-70x+25
14x2-35x+10
49x2+70x-25
35x2-30x+12

Q 5: (3x-4)2 = _____?
9x2-9x+12
9x2+24x+16
x2-12x+16
9x2-24x+16

Q 6: (5x-4)2 = _____?
25x2-40x+16
45x2+40x+16
20x2+20x+10
5x2-20x+4

Q 7: (9x-1)2 = _____?
9x2-9x+4
18x2-2x+14
81x2+18x-1
81x2-18x+1

Q 8: (x-9)2 = _____?
x2-18x+81
81x2+18x-18
x2+18x-18
81x2+18x-1

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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