Respuesta:
a. ( x - 3 ) ( x - 7 )
b. ( a + 2 ) ( a - 5 )
c. ( m + 2 ) ( m + 9 )
Explicación paso a paso:
a.
x^2 - 10x + 21
= x^2 - 3x - 7x + 21
= x ( x - 3 ) - 7 ( x - 3 )
= ( x - 3 ) ( x - 7 )
b.
a^2 - 3a - 10
= a^2 + 2a - 5a - 10
= a ( a + 2 ) - 5 ( a + 2 )
= ( a + 2 ) ( a - 5 )
c.
m^2 + 11m + 18
= m^2 + 2m + 9m + 18
= m ( m + 2 ) + 9 ( m + 2 )
= ( m + 2 ) ( m + 9 )
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Respuesta:
a. ( x - 3 ) ( x - 7 )
b. ( a + 2 ) ( a - 5 )
c. ( m + 2 ) ( m + 9 )
Explicación paso a paso:
a.
x^2 - 10x + 21
= x^2 - 3x - 7x + 21
= x ( x - 3 ) - 7 ( x - 3 )
= ( x - 3 ) ( x - 7 )
b.
a^2 - 3a - 10
= a^2 + 2a - 5a - 10
= a ( a + 2 ) - 5 ( a + 2 )
= ( a + 2 ) ( a - 5 )
c.
m^2 + 11m + 18
= m^2 + 2m + 9m + 18
= m ( m + 2 ) + 9 ( m + 2 )
= ( m + 2 ) ( m + 9 )