Question

add the following algebraic a4-2a3b+3ab3+4a2b2+3b4,-2a4-5ab3+7a3b-6a2b2+b4​

Answer 1

SOLUTION

TO ADD

The given algebraic expressions

$\sf{ {a}^{4} - 2 {a}^{3}b + 3a {b}^{3} + 4 {a}^{2} {b}^{2} + 3 {b}^{4} \: ,\: - 2{a}^{4} - 5a {b}^{3} + 7 {a}^{3} b - 6 {a}^{2} {b}^{2} + {b}^{4} }$

EVALUATION

Here the given expressions are

$\sf{ {a}^{4} - 2 {a}^{3}b + 3a {b}^{3} + 4 {a}^{2} {b}^{2} + 3 {b}^{4} \: ,\: - 2{a}^{4} - 5a {b}^{3} + 7 {a}^{3} b - 6 {a}^{2} {b}^{2} + {b}^{4} }$

On addition we get

$\sf{ ({a}^{4} - 2 {a}^{3}b + 3a {b}^{3} + 4 {a}^{2} {b}^{2} + 3 {b}^{4}) \: + \: (- 2{a}^{4} - 5a {b}^{3} + 7 {a}^{3} b - 6 {a}^{2} {b}^{2} + {b}^{4} ) }$

$\sf{ = {a}^{4} - 2 {a}^{3}b + 3a {b}^{3} + 4 {a}^{2} {b}^{2} + 3 {b}^{4} \: - 2{a}^{4} - 5a {b}^{3} + 7 {a}^{3} b - 6 {a}^{2} {b}^{2} + {b}^{4} }$

$\sf{ = - {a}^{4} + 5 {a}^{3}b - 2a {b}^{3} - 2 {a}^{2} {b}^{2} + 4 {b}^{4} }$

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