Math, asked by logicalfacts93, 7 hours ago

25(a + b)²- 36(a + b)²​

Answers

Answered by pratharshan8
1

Answer:

(11b - a) • (11a - b)

Step-by-step explanation:

(25 \: \: . \:  \:  ((a + b {)}^{2}))  - 36 \:  \: . \:  \: (a - b {)}^{2}  \\ =  25 \:  \: . \:  \: (a + b {)}^{2}  - 36 \:  \: . \:  \: (a - b {)}^{2} \\ Evaluate : (a + b {)}^{2}  =  {a }^{2}  + 2ab +  {b}^{2}  \\ Pull  \: out  \: like \:  factors:  \\  = - 11 {a}^{2}  + 122ab - 11 {b}^{2}  =  - 1 \:  \: . \:  \: (11 {a}^{2}  - 122ab + 11 {b}^{2} ) \\ Factoring \: 11 {a}^{2}  - 122ab + 11 {b}^{2}

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