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If a equals b and b equals c how to proof that a equals c?
The transitive property of equality says that if a=b, then b=c.If a=b and b=c, then a=cTo Prove:Using the equation:a=bsubstituting the value of b in terms of c:which is: b=ctherefore:a=ba=(c)a=c
Define association in math terms?
Association is a property of arithmetic operations. The associative property states that the order in which two or more operations are carried out does not affect the result. Thus, (a + b) + c = a + b + c and a + (b + c) = a + b + c so you can write a + b + c without ambiguity. Note that a - (b - c) is NOT the same as (a - b) - c [unless c = 0].
Factor 3ab plus 3ac plus 2b squared plus 2bc?
To factor the expression 3ab + 3ac + 2b^2 + 2bc, we first look for common factors among the terms. We can factor out a 3a from the first two terms, and a 2 from the last two terms. This gives us 3a(b + c) + 2(b^2 + bc). Next, we notice that we can factor out a b from the second term in the second parenthesis, giving us the final factored form: 3a(b + c) + 2b(b + c).
Is a over b over c equal to ac over b?
No. Assuming no parentheses, a/b/c = (a/b)/c = a/bc. For example, 1/2/3 = (1/2)/3 = 1/6. If there are parentheses for the last 2 terms, such as a/(b/c), then it is ac/b. Similarly, if you see it written out as a complex fraction with the a on the top half and the b/c in the bottom half, then it is the same as ac/b.
How will you remove parenthesis in algebraic expression preceded by a minus sign?
You have to switch the sign of all terms within the parentheses. For example, -(a - b + c - d) becomes -a + b - c + d
