factorise (m-7)^2+9(m-7)
Answers
Answer:
Expand the square
(
−
7
)
2
+
9
(
−
7
)
(m-7)^{2}+9(m-7)
(m−7)2+9(m−7)
(
−
7
)
(
−
7
)
+
9
(
−
7
)
(m-7)(m-7)+9(m-7)
(m−7)(m−7)+9(m−7)
2
Distribute
(
−
7
)
(
−
7
)
+
9
(
−
7
)
{\color{#c92786}{(m-7)(m-7)}}+9(m-7)
(m−7)(m−7)+9(m−7)
(
−
7
)
−
7
(
−
7
)
+
9
(
−
7
)
{\color{#c92786}{m(m-7)-7(m-7)}}+9(m-7)
m(m−7)−7(m−7)+9(m−7)
3
Distribute
(
−
7
)
−
7
(
−
7
)
+
9
(
−
7
)
{\color{#c92786}{m(m-7)}}-7(m-7)+9(m-7)
m(m−7)−7(m−7)+9(m−7)
2
−
7
−
7
(
−
7
)
+
9
(
−
7
)
{\color{#c92786}{m^{2}-7m}}-7(m-7)+9(m-7)
m2−7m−7(m−7)+9(m−7)
4
Distribute
2
−
7
−
7
(
−
7
)
+
9
(
−
7
)
m^{2}-7m{\color{#c92786}{-7(m-7)}}+9(m-7)
m2−7m−7(m−7)+9(m−7)
2
−
7
−
7
+
4
9
+
9
(
−
7
)
m^{2}-7m{\color{#c92786}{-7m+49}}+9(m-7)
m2−7m−7m+49+9(m−7)
5
Combine like terms
2
−
7
−
7
+
4
9
+
9
(
−
7
)
m^{2}{\color{#c92786}{-7m}}{\color{#c92786}{-7m}}+49+9(m-7)
m2−7m−7m+49+9(m−7)
2
−
1
4
+
4
9
+
9
(
−
7
)
m^{2}{\color{#c92786}{-14m}}+49+9(m-7)
m2−14m+49+9(m−7)
6
Distribute
2
−
1
4
+
4
9
+
9
(
−
7
)
m^{2}-14m+49+{\color{#c92786}{9(m-7)}}
m2−14m+49+9(m−7)
2
−
1
4
+
4
9
+
9
−
6
3
m^{2}-14m+49+{\color{#c92786}{9m-63}}
m2−14m+49+9m−63
7
Subtract the numbers
2
−
1
4
+
4
9
+
9
−
6
3
m^{2}-14m+{\color{#c92786}{49}}+9m{\color{#c92786}{-63}}
m2−14m+49+9m−63
2
−
1
4
−
1
4
+
9
m^{2}-14m{\color{#c92786}{-14}}+9m
m2−14m−14+9m
8
Combine like terms
2
−
1
4
−
1
4
+
9
m^{2}{\color{#c92786}{-14m}}-14+{\color{#c92786}{9m}}
m2−14m−14+9m
2
−
5
−
1
4
m^{2}{\color{#c92786}{-5m}}-14
m2−5m
Solution
2
−
5
−
1
4
Answer:
(m-7)(m+2) is the right answer