Объяснение:
а)
б)
в)
г)
а) (4+\sqrt a)(4-\sqrt a)=16 - (\sqrt a)^2=16-a(4+
a
)(4−
)=16−(
)
2
=16−a
б) (\sqrt b - \sqrt c)(\sqrt b - \sqrt c) = (\sqrt b)^2-(\sqrt c)^2=b - c(
b
−
c
)(
)=(
−(
=b−c
в) (\sqrt 5 + \sqrt m )^2-(m + 5)=5+m+2\sqrt 5m-(m+5)=2m\sqrt5(
5
+
m
−(m+5)=5+m+2
m−(m+5)=2m
г) n + 10 - (\sqrt {10} - \sqrt n)^2=n+10-10-n+2\sqrt {10}~n = 2n\sqrt{10}n+10−(
10
n
=n+10−10−n+2
n=2n
Объяснение:
а)
б)
в)
г)
а) (4+\sqrt a)(4-\sqrt a)=16 - (\sqrt a)^2=16-a(4+
a
)(4−
a
)=16−(
a
)
2
=16−a
б) (\sqrt b - \sqrt c)(\sqrt b - \sqrt c) = (\sqrt b)^2-(\sqrt c)^2=b - c(
b
−
c
)(
b
−
c
)=(
b
)
2
−(
c
)
2
=b−c
в) (\sqrt 5 + \sqrt m )^2-(m + 5)=5+m+2\sqrt 5m-(m+5)=2m\sqrt5(
5
+
m
)
2
−(m+5)=5+m+2
5
m−(m+5)=2m
5
г) n + 10 - (\sqrt {10} - \sqrt n)^2=n+10-10-n+2\sqrt {10}~n = 2n\sqrt{10}n+10−(
10
−
n
)
2
=n+10−10−n+2
10
n=2n
10