Question

Descompuneti in produs folosind factorul comun:

a) 4 la puterea 5+4 la puterea 8-4 la puterea 4
b) 3 la puterea 3+ 6 la puterea 5 + 3 la puterea 4
c) x la puterea 2 +x la puterea 3+x la puterea 4
d) 5 la puterea 3 ori 6+5 la puterea 4 ori 7

VA ROG AM NEVOIE URGENT

Answer 1

a)   4⁵ + 4⁸ - 4⁴ = 4⁴ x ( 4 + 4⁴ - 1 ) = 4⁴ x ( 4 + 256 - 1 ) = 4⁴ x 259

b)   3³ + 6⁵ + 3⁴ =

=  3³ + ( 2 x 3 )⁵ + 3⁴ =

= 3³ + 2⁵ x 3⁵ + 3⁴=

= 3³ x ( 1 + 2⁵ x 3² + 3 ) =

= 27 x ( 4 + 32 x 9 ) =

= 27 x 292

c)   x² + x³ + x⁴ = x²·  ( 1 + x + x² )

d)  5³ x 6 + 5⁴ x 7 = 5³ x ( 6 + 5 x 7 ) = 5³ x 41