Math, asked by aaryamore4711, 2 months ago

Show That(9m-5n)²+180mn=81m²+90mn+25n²​

Answers

Answered by riyars080102
2

Step-by-step explanation:

using formula,

(a+b)² = + 2ab +

L.H.S = (9m-5n)²+180mn \\  =  {(9m)}^{2}  - 2(9m)(5n) +  {(5n)}^{2}  + 180mn \\  = 81 {m}^{2}  - 90mn + 25 {n}^{2}  + 180mn \\ = 81 {m}^{2} + 180mn  - 90mn + 25 {n}^{2}  \\  = = 81 {m}^{2} + 90mn + 25 {n}^{2}

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