Răspuns:
Explicație pas cu pas:
a) 2²⁰⁰⁵ + 2²⁰⁰³ + 2²⁰⁰¹ = 2²⁰⁰¹ x 21
= 2²⁰⁰¹ x 2⁴ + 2²⁰⁰¹ x 2² + 2²⁰⁰¹ x 1 =
= 2²⁰⁰¹ x ( 2⁴ + 2² + 1 ) =
= 2²⁰⁰¹ x ( 16 + 4 + 1 ) =
= 2²⁰⁰¹ x 21
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b)
7⁵ + 7⁴ + 7³ = 7³ x 57
= 7³ x 7² + 7³ x 7 + 7³ x 1 =
= 7³ x ( 7² + 7 + 1 ) =
= 7³ x ( 49 + 8 ) =
= 7³ x 57
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c)
x⁷ + x⁶ + x⁵ = x⁵ · ( x² + x + 1 )
= x⁵· x² + x⁵· x + x⁵ · 1 =
= x⁵ · ( x² + x + 1 )
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d)
7 y⁴ + 3 y³ + 2 y² = y² x ( 7 y² + 3 y + 2 )
= y² x 7 y² + y² x 3 y + y² x 2 =
= y² x ( 7 y² + 3 y + 2 )
