Evaluate without actual multiplication. a)(107)² b)198 ×202 c) (1.01)² –(0.99)² d) 1.01 × 0.99 e) 998² NOTE: please give answer related to the question...┗( T﹏T )┛ WARNING: if you do give answer not related to the question then I will report you so please don't feel bad (≧﹏ ≦)
Answers
Answer:
Step-by-step explanation:
a) (107)²
⇒ [We have to use the identity: (a+b)²= a²+2ab+b².]
a=100 and b=7
(100+7)²= 100²+2 x 100 x 7+ 7²
= 100²+1400+7²
= 10000+1400+49
= 11449
b) 198 x 202
⇒ [We have to use the identity: (a-b) (a+b)= a²-b²]
a=200 and b=2
(200-2)(200+2)= 200²-2²
= 40000 - 4
= 39996
c)(1.01)²-(0.99)²
⇒ [We have to use the identity: a² – b² = (a + b)(a – b)]
a=1.01 and b=0.99
(1.01+0.99)(1.01-0.99)=(1.01)²-(0.99)²
=1.0201-0.9801
=0.04
d)1.01 x 0.99
⇒ (0.99)*(1.01)
= (1 - 0.01)*(1 + 0.01)
so (a+b)(a-b) = a^2 - b^2
= 1^2 - 0.01^2
= 1 - 0.0001
= 0.9999
e)998²
⇒ we should use the identity:(a + b)² = a² + 2ab + b²
a=900 and b= 98
(900+98)²=900²+2 x 900 x 98+98²
=900²+176400+98²
=810000+176400+9604
=996004
Hope It Helps Ya And If It Did Then Please Mark As BRAINLIEST!!
\
ヾ(≧ ▽ ≦)ゝ