Question

Verify a-(-b)=a+b for a =28 and b=11

Answer 1

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Answer 2

Answer:

Given expression is satisfied for a =28 and b=11.

Step-by-step explanation:

Here given expression is $a - ( - b) = a + b$

This is a problem of Algebra.

Now we want to verify the above expression for $a = 28$and $b = 11$

Now we are putting $a = 28$and $b = 11$in LHS (Left Hand Side) and RHS (Right Hand Side)in given the equation.

Now LHS,

$a - ( - b) = 28 - ( - 11) = 28 + 11 = 39$

and RHS,

$a + b = 28 + 11 = 39$

Therefore LHS=RHS

So we can say $a - ( - b) = a + b$is satisfied for $a = 28$and $b = 11$

Some important formulas of Algebra,

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

${a}^{2} - {b}^{2} = (a + b)(a - b) \\ {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab \\ {a}^{2} + {b}^{2} = {(a - b)}^{2} + 2ab \\ {a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} ) \\ {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$