Math, asked by alonaroy57, 1 month ago

(a^2-b^2) (a+b)^2 plssss say the answer ​

Answers

Answered by prerna10089
0

Answer:

hope it will help u good night nd best of luck for urr future

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Answered by ripinpeace
16

Answer:

 {a}^{4}  + a {b}^{3}  + 3 {a}^{3} b   -  {a}^{3} b -  {b}^{4}- 3a {b}^{3}

Step-by-step explanation:

(a^2-b^2) (a+b)^2

→(a + b)(a - b)(a + b)^{2}

→(a  -  b)(a + b)^{2 + 1}

→(a  -  b)(a + b)^{3}

→(a  -  b)[ {a}^{3}  +  {b}^{3}  + 3ab(a + b)]

→(a  -  b)[ {a}^{3}  +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}  ]

 →{a}^{4}  + a {b}^{3}  + 3 {a}^{3} b +  \cancel{3 {a}^{2}  {b}^{2}}  -  {a}^{3} b -  {b}^{4}  -  \cancel{3 {a}^{2}  {b}^{2}  }- 3a {b}^{3}

 →\bf \orange { \boxed{{a}^{4}  + a {b}^{3}  + 3 {a}^{3} b   -  {a}^{3} b -  {b}^{4}- 3a {b}^{3} }}

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