akaka7382 akaka7382
  • 21-02-2021
  • Mathematics
contestada

Evaluate (98 x 102) by using suitable identities.

Respuesta :

edios136534150518
edios136534150518 edios136534150518
  • 21-02-2021

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

Answer Link
Аноним Аноним
  • 21-02-2021

Answer:

9996

Step-by-step explanation:

by using suitable identities ;

  • (98) × (102)
  • (100 - 2) × (100 + 2)
  • 10000 - 4
  • 9996

identity used here is :

[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]

..........................

Answer Link

Otras preguntas

The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant
A businessman has 10 employees. His salary is equal to 6 times the average of employees salaries. If the 11 of them receive a total of $64,000 in one year, what
4y-12x+8=0; Solve for y
what is the structure of a protein?
On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left, how much money did he have ori
what were the causes of the great depression?
Ions are electrically charged particles that are formed when certain compounds are dissolved in water. These solutions will conduct electricity. The Swedish sc
Rationalise:(1)              4/(2+root3+root7)(2)              4/(2root3+root5)
What is a light year??????????
what is black poetry?