Respuestas
Respuesta:
Explicación paso a paso:
1 Expandir.
{a}^{2}+5a+10={a}^{2}+4a+2a+8a
2
+5a+10=a
2
+4a+2a+8
2 Simplifica {a}^{2}+4a+2a+8a
2
+4a+2a+8 a {a}^{2}+6a+8a
2
+6a+8.
{a}^{2}+5a+10={a}^{2}+6a+8a
2
+5a+10=a
2
+6a+8
3 Cancela {a}^{2}a
2
en ambos lados.
5a+10=6a+85a+10=6a+8
4 Resta 5a5a en ambos lados.
10=6a+8-5a10=6a+8−5a
5 Simplifica 6a+8-5a6a+8−5a a a+8a+8.
10=a+810=a+8
6 Resta 88 en ambos lados.
10-8=a10−8=a
7 Simplifica 10-810−8 a 22.
2=a2=a
8 Intercambia los lados.
a=2a=2
Respuesta:
a ( a + 5 ) 10 = ( a + 2 ) (a + 4 )
(a a + a • 5 ) + 10 = ( a + 2) (a + 4)
( a¹+ ¹ + 5 a ) + 10 = ( a + 2 ) ( a + 4 )
( a² + 5 a ) + 10 = ( a + 2 ) ( a + 4 )
a² + 5 a + 10 = ( a + 2 ) ( a + 4 )
a² + 5 a + 10 = a a + a • 4 + 2 a + 2
a ² + 5 a + 10 = a ¹ + 1 + 4 a + 2 a + 8
a ² + 5 a + 10 = a ² + 4 a + 2 a + 8
a ² + 5 a + 10 = a ² + 6 a + 8
5 a + 10 = 6 a + 8
( 5 a + 10 ) + ( - 10 - 6 a ) = ( 6 a + 8 ) + ( 10 - 6 a)
( 5 a + 10 ) + ( - 6 a - 10 ) = ( 6 a + 8 ) + ( - 6 a - 10 )
5 a + 10 - 69 - 10 = 69 + 8 - 6 a - 10
5 a - 6 a + 10 - 10 = 6 a - 6 a - 6 a + 8 - 10
- a = - 2
a = 2
espero que te ayude