factorise the following (x+9)² ?
Answers
Answer:
Expand the square
(
+
9
)
2
\left(x+9\right)^{2}
(x+9)2
(
+
9
)
(
+
9
)
(x+9)(x+9)
(x+9)(x+9)
2
Distribute
(
+
9
)
(
+
9
)
{\color{#c92786}{(x+9)(x+9)}}
(x+9)(x+9)
(
+
9
)
+
9
(
+
9
)
{\color{#c92786}{x(x+9)+9(x+9)}}
x(x+9)+9(x+9)
3
Distribute
(
+
9
)
+
9
(
+
9
)
{\color{#c92786}{x(x+9)}}+9(x+9)
x(x+9)+9(x+9)
2
+
9
+
9
(
+
9
)
{\color{#c92786}{x^{2}+9x}}+9(x+9)
x2+9x+9(x+9)
4
Distribute
2
+
9
+
9
(
+
9
)
x^{2}+9x+{\color{#c92786}{9(x+9)}}
x2+9x+9(x+9)
2
+
9
+
9
+
8
1
x^{2}+9x+{\color{#c92786}{9x+81}}
x2+9x+9x+81
5
Combine like terms
2
+
9
+
9
+
8
1
x^{2}+{\color{#c92786}{9x}}+{\color{#c92786}{9x}}+81
x2+9x+9x+81
2
+
1
8
+
8
1
x^{2}+{\color{#c92786}{18x}}+81
x2+18x+81
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Solution
2
+
1
8
+
8
1
Step-by-step explanation: