Question

write the following
Identies
(a2 - b2)​

Answer 1

Answer:

write the following

Identies

(a2 - b2)

Answer 2

Answer:

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Step-by-step explanation:

area of square ABCD = a2 = (5)2 = 25 sq. units

fig. (ii), area of square EFGH = b2 = (3)2 = 9 sq. units

fig. (iii), area of quadrilateral EBCF + area of quadrilateral GFCD = area of ABCD – area of square EFGH

= (a2 – b2) sq. units

= 25 – 9

= 16 sq. units … (i)

fig. (v), area of rectangle EDGB = EB x ED

= (a – b)(a+b)

= (5 – 3)(5 + 3)

= 2 x 8

= 16 sq. units … (ii)

From (i) and (ii), we have a2 – b2 = (a – b)(a + b)