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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.25 Finding the Formula (a+b)2 (Geometrical Proof)

Find the value of (a+b)2

Suppose AB = a units, BC = b units,
\ AC = AB + BC = (a + b) units
Af = Ag + GF = (a + b) units
Area of square ACDF = AC * AF = (a + b) * (a + b)
= (a + b)2 sq. units    ..........I
Area of square ACDF
= Area of square ABHG + Area of  rectangle  BCIH + Area of Square HIDE + Area of rectangle GHEF
= AB * AG + BH * BC + HI * HE + GH * GF
= a*a + a*b + b*b + a*b
= (a2 + 2ab + b2) sq. units    .........II
\ from I and II

(a + b)2  = (a2 + 2ab + b2)


Directions: Solve the following problems. Also write at least ten examples of your own.
Q 1: (4x+3)2 = _____?
16x2+24x+9
4x2+24x+9
16x2-24x+9

Q 2: (9x+15)2 = _____?
81x2+270x+225
81x2-270x+225
9x2+270x+225

Q 3: (6x+3)2 = _____?
6x2+36x+9
36x2+36x+9
36x2-36x+9

Q 4: (15x+7)2 = _____?
225x2-210x+49
15x2+210x+49
225x2+210x+49

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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