expand (3x+7y+5z)^2 help me with this pls
Answers
Expand the square
(
3
+
7
+
5
)
2
\left(3x+7y+5z\right)^{2}
(3x+7y+5z)2
(
3
+
7
+
5
)
(
3
+
7
+
5
)
(3x+7y+5z)(3x+7y+5z)
(3x+7y+5z)(3x+7y+5z)
2
Distribute
(
3
+
7
+
5
)
(
3
+
7
+
5
)
{\color{#c92786}{(3x+7y+5z)(3x+7y+5z)}}
(3x+7y+5z)(3x+7y+5z)
3
(
3
+
7
+
5
)
+
7
(
3
+
7
+
5
)
+
5
(
3
+
7
+
5
)
{\color{#c92786}{3x(3x+7y+5z)+7y(3x+7y+5z)+5z(3x+7y+5z)}}
3x(3x+7y+5z)+7y(3x+7y+5z)+5z(3x+7y+5z)
3
Distribute
3
(
3
+
7
+
5
)
+
7
(
3
+
7
+
5
)
+
5
(
3
+
7
+
5
)
{\color{#c92786}{3x(3x+7y+5z)}}+7y(3x+7y+5z)+5z(3x+7y+5z)
3x(3x+7y+5z)+7y(3x+7y+5z)+5z(3x+7y+5z)
9
2
+
2
1
+
1
5
+
7
(
3
+
7
+
5
)
+
5
(
3
+
7
+
5
)
{\color{#c92786}{9x^{2}+21xy+15xz}}+7y(3x+7y+5z)+5z(3x+7y+5z)
9x2+21xy+15xz+7y(3x+7y+5z)+5z(3x+7y+5z)
4
Distribute
9
2
+
2
1
+
1
5
+
7
(
3
+
7
+
5
)
+
5
(
3
+
7
+
5
)
9x^{2}+21xy+15xz+{\color{#c92786}{7y(3x+7y+5z)}}+5z(3x+7y+5z)
9x2+21xy+15xz+7y(3x+7y+5z)+5z(3x+7y+5z)
9
2
+
2
1
+
1
5
+
2
1
+
4
9
2
+
3
5
+
5
(
3
+
7
+
5
)
9x^{2}+21xy+15xz+{\color{#c92786}{21xy+49y^{2}+35yz}}+5z(3x+7y+5z)
9x2+21xy+15xz+21xy+49y2+35yz+5z(3x+7y+5z)
5
Distribute
9
2
+
2
1
+
1
5
+
2
1
+
4
9
2
+
3
5
+
5
(
3
+
7
+
5
)
9x^{2}+21xy+15xz+21xy+49y^{2}+35yz+{\color{#c92786}{5z(3x+7y+5z)}}
9x2+21xy+15xz+21xy+49y2+35yz+5z(3x+7y+5z)
9
2
+
2
1
+
1
5
+
2
1
+
4
9
2
+
3
5
+
1
5
+
3
5
+
2
5
2
9x^{2}+21xy+15xz+21xy+49y^{2}+35yz+{\color{#c92786}{15xz+35yz+25z^{2}}}
9x2+21xy+15xz+21xy+49y2+35yz+15xz+35yz+25z2
6
Combine like terms
9
2
+
2
1
+
1
5
+
2
1
+
4
9
2
+
3
5
+
1
5
+
3
5
+
2
5
2
9x^{2}+{\color{#c92786}{21xy}}+15xz+{\color{#c92786}{21xy}}+49y^{2}+35yz+15xz+35yz+25z^{2}
9x2+21xy+15xz+21xy+49y2+35yz+15xz+35yz+25z2
9
2
+
4
2
+
1
5
+
4
9
2
+
3
5
+
1
5
+
3
5
+
2
5
2
9x^{2}+{\color{#c92786}{42xy}}+15xz+49y^{2}+35yz+15xz+35yz+25z^{2}
9x2+42xy+15xz+49y2+35yz+15xz+35yz+25z2
7
Combine like terms
9
2
+
4
2
+
1
5
+
4
9
2
+
3
5
+
1
5
+
3
5
+
2
5
2
9x^{2}+42xy+{\color{#c92786}{15xz}}+49y^{2}+35yz+{\color{#c92786}{15xz}}+35yz+25z^{2}
9x2+42xy+15xz+49y2+35yz+15xz+35yz+25z2
9
2
+
4
2
+
3
0
+
4
9
2
+
3
5
+
3
5
+
2
5
2
9x^{2}+42xy+{\color{#c92786}{30xz}}+49y^{2}+35yz+35yz+25z^{2}
9x2+42xy+30xz+49y2+35yz+35yz+25z2
8
Combine like terms
9
2
+
4
2
+
3
0
+
4
9
2
+
3
5
+
3
5
+
2
5
2
9x^{2}+42xy+30xz+49y^{2}+{\color{#c92786}{35yz}}+{\color{#c92786}{35yz}}+25z^{2}
9x2+42xy+30xz+49y2+35yz+35yz+25z2
9
2
+
4
2
+
3
0
+
4
9
2
+
7
0
+
2
5
2
9x^{2}+42xy+30xz+49y^{2}+{\color{#c92786}{70yz}}+25z^{2}
9x2+42xy+30xz+49y2+70yz+25z2
I think it's helps you