Math, asked by Aiaha, 10 months ago

(a-b)(a+b²)+(a+ b)(a²-b²) is equal to ....please give in details don't just give the answer​

Answers

Answered by accountstr
1

hope this may help you!!!

Attachments:
Answered by Anonymous
15

 \huge\bf\underline \green{Solution:-}

Explanation:-

: \mapsto   \rm\small \: (a - b)(a +  {b}^{2} ) + (a + b)( {a}^{2}  -  {b}^{2} ) \\  \\ : \mapsto   \rm\: \small \: a( {a} +   {b}^{2} ) - b( {a} +   {b}^{2} ) +  (a + b)( {a}^{2}  -  {b}^{2} ) \\  \\ : \mapsto   \rm\: \small \: {a}^{2}  + a {b}^{2}  - ab -  {b}^{3}  +  (a + b)( {a}^{2}  -  {b}^{2} ) \\  \\ : \mapsto   \rm\: \small \: {a}^{2}  + a {b}^{2}  - ab -  {b}^{3}  + a( { a }^{2}  -  {b}^{2} ) + b({ a }^{2}  -  {b}^{2}) \\  \\ : \mapsto   \rm\: \small \: {a}^{2}  + a {b}^{2}  - ab -  {b}^{3}   +  {a}^{3}  - a {b}^{2}  +  {a}^{2} b -  {b}^{3}  \\  \\ \mapsto   \bf\: \small \: {a}^{3}  - 2 {b}^{3}  +  {a}^{2}  +  {a}^{2} b - ab

Some formulas which can help to solve this type of questions:-

★ (a+b)² = a² + b² + 2ab

★ (a - b)² = a² + b² - 2ab

★ (a+b)(a-b) = a² - b²

★ (a+b)³ = a³ + b³ + 3ab(a + b)

★ (a-b)³ = a³ - b³ - 3ab(a - b)

★ (a+b+c)² = a² + b² + c² +2ab + 2bc +2ca

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