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GarryVolchara [31]

3 years ago

7

Translate the word statement to a numerical statement then solve the problem

2 answers:

nika2105 [10]3 years ago

8 0

It might be 63 and 27 but if im wrong love me (plz dont really love me )

kotegsom [21]3 years ago

8 0

9(7-3) is the statement, the answer is 36, I hope i can help

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Mkey [24]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Simplify ⇨ 1/x(x+a) + 1/x(x-a)

$\large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}$

$\sf\frac { 1 } { x ( x + a ) } + \frac { 1 } { x ( x - a ) } \\$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $x\left(x+a\right)$ and $x\left(x-a\right)$ is $x\left(x+a\right)\left(x-a\right)$ . Multiply $\frac{1}{x\left(x+a\right)} times \frac{x-a}{x-a}$ . Multiply $\frac{1}{x\left(x-a\right)} times \frac{x+a}{x+a}$ .

$\sf\frac{x-a}{x\left(x+a\right)\left(x-a\right)}+\frac{x+a}{x\left(x+a\right)\left(x-a\right)} \\$

Because $\frac{x-a}{x\left(x+a\right)\left(x-a\right)}$ and $\frac{x+a}{x\left(x+a\right)\left(x-a\right)}$ have the same denominator, add them by adding their numerators.

$\sf\frac{x-a+x+a}{x\left(x+a\right)\left(x-a\right)} \\$

Combine like terms in x-a+x+a.

$\sf\frac{2x}{x\left(x+a\right)\left(x-a\right)} \\$

Cancel out x in both the numerator and denominator.

$\sf\frac{2}{\left(x+a\right)\left(x-a\right)} \\$

Expand $\left(x+a\right)\left(x-a\right)$ .

$\boxed{\boxed{ \bf\frac{2}{x^{2}-a^{2}}}} \\$

3 0

3 years ago