(a - b) (2b-6a) find the solution
Answers
Answer:
−6a²+8ab−2b²
Step-by-step explanation:
( − ) ( − 6 + 2 )
= (−6+2)−(−6+2)
= −6²+2+6−2²
Combine like terms: −6²+2+6−2²
=−6²+8−2²
Answer:
How to solve your problem
(
−
)
(
2
−
6
)
(a-b)(2b-6a)
(a−b)(2b−6a)
Simplify
1
Rearrange terms
(
−
)
(
2
−
6
)
(a-b)({\color{#c92786}{2b-6a}})
(a−b)(2b−6a)
(
−
)
(
−
6
+
2
)
(a-b)({\color{#c92786}{-6a+2b}})
(a−b)(−6a+2b)
2
Distribute
(
−
)
(
−
6
+
2
)
{\color{#c92786}{(a-b)(-6a+2b)}}
(a−b)(−6a+2b)
(
−
6
+
2
)
−
(
−
6
+
2
)
{\color{#c92786}{a(-6a+2b)-b(-6a+2b)}}
a(−6a+2b)−b(−6a+2b)
3
Distribute
(
−
6
+
2
)
−
(
−
6
+
2
)
{\color{#c92786}{a(-6a+2b)}}-b(-6a+2b)
a(−6a+2b)−b(−6a+2b)
−
6
2
+
2
−
(
−
6
+
2
)
{\color{#c92786}{-6a^{2}+2ab}}-b(-6a+2b)
−6a2+2ab−b(−6a+2b)
4
Distribute
−
6
2
+
2
−
(
−
6
+
2
)
-6a^{2}+2ab{\color{#c92786}{-b(-6a+2b)}}
−6a2+2ab−b(−6a+2b)
−
6
2
+
2
+
6
−
2
2
-6a^{2}+2ab+{\color{#c92786}{6ab-2b^{2}}}
−6a2+2ab+6ab−2b2
5
Combine like terms
−
6
2
+
2
+
6
−
2
2
-6a^{2}+{\color{#c92786}{2ab}}+{\color{#c92786}{6ab}}-2b^{2}
−6a2+2ab+6ab−2b2
−
6
2
+
8
−
2
2
-6a^{2}+{\color{#c92786}{8ab}}-2b^{2}
−6a2+8ab−2b2
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Solution
−
6
2
+
8
−
2
2