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Phantasy [73]
4 years ago
15

id="TexFormula1" title="is \frac{4x+4}{4} equivalent to \frac{x+4}{4} ?" alt="is \frac{4x+4}{4} equivalent to \frac{x+4}{4} ?" align="absmiddle" class="latex-formula">
is \frac{2}{a+b} the same as \frac{2}{a} + \frac{2}{b} ?

is (a+b)(a+b){2}  equivalent to     a{2} + b^{2}
Mathematics
1 answer:
Oduvanchick [21]4 years ago
3 0

\dfrac{4x+4}{4}\ \text{not equivelent to}\ \dfrac{x+4}{4}\\\\\dfrac{4x+4}{4}=\dfrac{4(x+1)}{4}=x+1\neq\dfrac{x+4}{4}\\---------------------------------\\\dfrac{2}{a+b}\ \text{not equivelent to}\ \dfrac{2}{a}+\dfrac{2}{b}\\\\\dfrac{2}{a}+\dfrac{2}{b}=\dfrac{2b}{ab}+\dfrac{2a}{ab}=\dfrac{2b+2a}{ab}=\dfrac{2(a+b)}{ab}\neq\dfrac{2}{a+b}\\--------------------------------------\\(a+b)^2 \ \text{not equivelent to}\ a^2+b^2\\\\(a+b)^2=(a+b)(a+b)=a^2+ab+ab+b^2=a^2+2ab+b^2\neq a^2+b^2

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