factorise X(x-y) + 2 X(2y+X)
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Answered by
0
Answer:
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Step-by-step explanation:
Simplify
1
Distribute
(
−
)
+
2
(
2
+
)
{\color{#c92786}{X(x-y)}}+2X(2y+X)
X(x−y)+2X(2y+X)
−
+
2
(
2
+
)
{\color{#c92786}{Xx-Xy}}+2X(2y+X)
Xx−Xy+2X(2y+X)
2
Rearrange terms
−
+
2
(
2
+
)
Xx-Xy+2X({\color{#c92786}{2y+X}})
Xx−Xy+2X(2y+X)
−
+
2
(
+
2
)
Xx-Xy+2X({\color{#c92786}{X+2y}})
Xx−Xy+2X(X+2y)
3
Distribute
−
+
2
(
+
2
)
Xx-Xy+{\color{#c92786}{2X(X+2y)}}
Xx−Xy+2X(X+2y)
−
+
2
2
+
4
Xx-Xy+{\color{#c92786}{2X^{2}+4Xy}}
Xx−Xy+2X2+4Xy
4
Combine like terms
−
+
2
2
+
4
Xx{\color{#c92786}{-Xy}}+2X^{2}+{\color{#c92786}{4Xy}}
Xx−Xy+2X2+4Xy
+
3
+
2
2
Xx+{\color{#c92786}{3Xy}}+2X^{2}
Xx+3Xy+2X2
5
Rearrange terms
+
3
+
2
2
{\color{#c92786}{Xx+3Xy+2X^{2}}}
Xx+3Xy+2X2
2
2
+
+
3
{\color{#c92786}{2X^{2}+Xx+3Xy}}
2X2+Xx+3Xy
Solution
2
2
+
+
3
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