factorise (a+b)^2-1 find this answer
Answers
Answered by
0
Step-by-step explanation:
How to solve your problem
(
+
)
2
−
1
(a+b)^{2}-1
(a+b)2−1
Simplify
1
Expand the square
(
+
)
2
−
1
\left(a+b\right)^{2}-1
(a+b)2−1
(
+
)
(
+
)
−
1
(a+b)(a+b)-1
(a+b)(a+b)−1
2
Distribute
(
+
)
(
+
)
−
1
{\color{#c92786}{(a+b)(a+b)}}-1
(a+b)(a+b)−1
(
+
)
+
(
+
)
−
1
{\color{#c92786}{a(a+b)+b(a+b)}}-1
a(a+b)+b(a+b)−1
3
Distribute
(
+
)
+
(
+
)
−
1
{\color{#c92786}{a(a+b)}}+b(a+b)-1
a(a+b)+b(a+b)−1
2
+
+
(
+
)
−
1
{\color{#c92786}{a^{2}+ab}}+b(a+b)-1
a2+ab+b(a+b)−1
4
Distribute
2
+
+
(
+
)
−
1
a^{2}+ab+{\color{#c92786}{b(a+b)}}-1
a2+ab+b(a+b)−1
2
+
+
+
2
−
1
a^{2}+ab+{\color{#c92786}{ab+b^{2}}}-1
a2+ab+ab+b2−1
5
Combine like terms
2
+
+
+
2
−
1
a^{2}+{\color{#c92786}{ab}}+{\color{#c92786}{ab}}+b^{2}-1
a2+ab+ab+b2−1
2
+
2
+
2
−
1
a^{2}+{\color{#c92786}{2ab}}+b^{2}-1
a2+2ab+b2−1
Answered by
0
Step-by-step explanation:
Answer is,
=(a+b+1)(a+b-1)
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