Answer:
(2m^3+4n^2)^2=(2m^3)( 2m^3)+ ( 2m^3) (4n^2)+ (4n^2) ( 2m^3)+ (4n^2) (4n^2)
(2m
3
+4n
2
)
=(2m
)(2m
)+(2m
)(4n
)+(4n
(2m^3+4n^2)^2=4m^6 + 8 m^3n^2+ 8 m^3n^2+ 16n^4
=4m
6
+8m
n
+16n
4
(2m^3+4n^2)^2=\color{#c34632}4m^6 + 16m^3n^2+ 16n^4
+16m
Another method is to use the rule: (a+b)^2=a^2+2ab+b^2(a+b)
=a
+2ab+b
. Here, a=2m^3a=2m
and b=4n^2b=4n
so we have:
(2m^3+4n^2)^2=(2m^3)^2+2(2m^3)(4n^2)+(4n^2)^2
+2(2m
Step-by-step explanation:
ganyan ba gyss?
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Answers & Comments
Answer:
(2m^3+4n^2)^2=(2m^3)( 2m^3)+ ( 2m^3) (4n^2)+ (4n^2) ( 2m^3)+ (4n^2) (4n^2)
(2m
3
+4n
2
)
2
=(2m
3
)(2m
3
)+(2m
3
)(4n
2
)+(4n
2
)(2m
3
)+(4n
2
)(4n
2
)
(2m^3+4n^2)^2=4m^6 + 8 m^3n^2+ 8 m^3n^2+ 16n^4
(2m
3
+4n
2
)
2
=4m
6
+8m
3
n
2
+8m
3
n
2
+16n
4
(2m^3+4n^2)^2=\color{#c34632}4m^6 + 16m^3n^2+ 16n^4
(2m
3
+4n
2
)
2
=4m
6
+16m
3
n
2
+16n
4
Another method is to use the rule: (a+b)^2=a^2+2ab+b^2(a+b)
2
=a
2
+2ab+b
2
. Here, a=2m^3a=2m
3
and b=4n^2b=4n
2
so we have:
(2m^3+4n^2)^2=(2m^3)^2+2(2m^3)(4n^2)+(4n^2)^2
(2m
3
+4n
2
)
2
=(2m
3
)
2
+2(2m
3
)(4n
2
)+(4n
2
)
2
(2m^3+4n^2)^2=\color{#c34632}4m^6 + 16m^3n^2+ 16n^4
(2m
3
+4n
2
)
2
=4m
6
+16m
3
n
2
+16n
4
Step-by-step explanation:
ganyan ba gyss?