Evaluate without actual multiplication. a)(107)² b)198 ×202 c) (1.01

1.	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 (≧﹏ ≦)
Answer» 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

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 (≧﹏ ≦)

Answer»

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