Question

Ex.19 va rog din suflet (fără punctul a) )
Va implor!

Answer 1

b)  3³ + 6⁵ + 3⁴ =

= 3³ + ( 2 x 3 )⁵ + 3⁴ =

= 3³ + 2⁵ x 3⁵ + 3⁴ =

= 3³ x ( 1 + 2⁵ x 3² + 3 ) =

= 27 x ( 1 + 2³ x ( 2 x 3 )² + 3 ) =

= 27 x ( 1 + 8 x 36 + 3 ) =

= 27 x 292

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c)

X² + X³ + X⁴ = X² ( 1 + X + X² )

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d)

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

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e)

3 x² y + 2 x y² + 4 x y = x y ( 3 x + 2 y + 4 )

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f)  

7⁵ x X + 7⁴ x Y + 49  x Z=

= 7² x ( 7³ X + 7² Y+ Z ) =

= 49 x ( 343 X + 49 Y + Z )

Answer 2

a)4⁵ + 4⁸- 4⁴ = 4⁴(4 + 4⁴- 1)

b)3³ + 6⁵ + 3⁴ = 3³ + 2⁵·3⁵ + 3⁴=3³(1 + 2⁵·3² + 3)

c)x² + x³ + x⁴ = x²(1 + x + x²)

d) 5³·6 + 5⁴·7 =5³(6 + 5·7)

e) 3x²y + 2xy² + 4xy = xy ( 3x + 2y +4)

f) 7⁵·x + 7⁴·y + 49z = 7²(7³x + 7²y + z )