Question

scrie urmatoarele nr sub forma de produs, utilizand factorul comun.​

Answer 1

Explicație pas cu pas:

a)

2⁵⁰ + 2⁵¹ + 2⁵² = 2⁵⁰•(1+2¹+2²) = 2⁵⁰•(1+2+4) = 7•2⁵⁰

b)

4•3¹⁴ + 2•3¹⁶ + 3¹⁸ = 3¹⁴•(4+2•3²+3⁴) = 3¹⁴•(4+18+81) = 103•3¹⁴

c)

7•5²⁰ + 6•5²¹ + 3•5²² = 5²⁰•(7+6•5+3•5²) = 5²⁰•(7+30+75) = 112•5²⁰

d)

11¹⁴ - 11¹²•2 - 3•11¹³ = 11¹²•(11²-2-3•11) = 11¹²•(121-2-33) = 86•11¹²

e)

3¹⁰•5¹² - 5¹¹•3⁹•4 + 15¹²•2 = 3¹⁰•5¹² - 5¹¹•3⁹•4 + (3•5)¹²•2 = 3¹⁰•5¹² - 5¹¹•3⁹•4 + 3¹²•5¹²•2 = 3⁹•5¹¹•(3•5 - 4 + 3³•5•2) = 3⁹•5¹¹•(15 - 4 + 270) = 281•3⁹•5¹¹

f)

2²⁴•5²² - 5²⁰•2²²•3 - 100¹⁰•2 = 2²•2²²•5²² - 3•2²•5²⁰•2²⁰ - 2•(10²)¹⁰ = 4•(2•5)²² - 12•(5•2)²⁰ - 2•10²⁰ = 4•10²² - 12•10²⁰ - 2•10²⁰ = 10²⁰•(4•10² - 12 - 2) = 10²⁰•(400 - 14) = 386•10²⁰