Answer:
Ques. : Prove that -
{(a + b)}^{2} \: - {(a - b)}^{2} = 4ab(a+b)
2
−(a−b)
=4ab
Sol. :
{(a + b)}^{2} \: - {(a - b)}^{2}(a+b)
= ( {a}^{2} + 2ab + {b}^{2} ) - ( {a}^{2} - 2ab + {b}^{2} )(a
+2ab+b
)−(a
−2ab+b
)
= {a}^{2} + 2ab + {b}^{2} \: - {a}^{2} + 2ab - {b}^{2}a
−a
+2ab−b
= 4ab4ab
------ (PROVED)
HOPE, it help you.
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Answers & Comments
Answer:
Ques. : Prove that -
{(a + b)}^{2} \: - {(a - b)}^{2} = 4ab(a+b)
2
−(a−b)
2
=4ab
Sol. :
{(a + b)}^{2} \: - {(a - b)}^{2}(a+b)
2
−(a−b)
2
= ( {a}^{2} + 2ab + {b}^{2} ) - ( {a}^{2} - 2ab + {b}^{2} )(a
2
+2ab+b
2
)−(a
2
−2ab+b
2
)
= {a}^{2} + 2ab + {b}^{2} \: - {a}^{2} + 2ab - {b}^{2}a
2
+2ab+b
2
−a
2
+2ab−b
2
= 4ab4ab
------ (PROVED)
HOPE, it help you.