2b+a+1-b +3
2b+a+1-b +3
Answers
a+b + 4
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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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