Question

2b+a+1-b +3
2b+a+1-b +3

Answer 1

a+b + 4

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Answer 2

Answer:

Step by step solution :

Step 1 :

3

Simplify —

b

Equation at the end of step 1 :

b 3

(b+((2•—)-1))-(1-((b-—)-1)) = 0

b b

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using b as the denominator :

b b • b

b = — = —————

1 b

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • b - (3) b2 - 3

——————————— = ——————

b b

Equation at the end of step 2 :

b (b2-3)

(b+((2•—)-1))-(1-(——————-1)) = 0

b b

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using b as the denominator :

1 1 • b

1 = — = —————

1 b

Trying to factor as a Difference of Squares :

3.2 Factoring: b2 - 3

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 3 is not a square !!

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