Question

1. Evaluate, using suitable identity :
(i) 48^2
(ii) 497 x 503
(iii) 181^2 – 19^2
(iv) 2.07 x 1.93
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Answer 1

Answer:

1. (i) (48)²=(50-2)²

since,(a-b)²=a²-2ab+b²

(50-2)²=(50)²-2×50×2+(2)²

=2500-200+4

=2504-200=2304

(ii) 181²-19²=(181-19) (181+19)

where,a =50 and b=2

=162×200=32400

(iii) 497×505=(500-3) (500+5)

=500²+(-3+5)×500+(-3) (5)

=250000+1000-15=250985

(iv) 2.07×1.93=(2+0.07) (2-0.07)

=2²-(0.07)

=3.9951

Answer 2

Step-by-step explanation:

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