Which of the expressions below can be factored using the difference of squares method?

Mathematics

1 answer:

Dmitry [639]3 years ago

3 0

Answer: A. $9x^2 - 16y^2$ .

Step-by-step explanation:

A difference of squares problem is factored as : $a^2 - b^2 = (a + b)(a - b)$
For this both terms in the form of squares and a minus sign between them.

From all the options only option A has both terms square and they minus sign between them.

Also, $9x^2 - 16y^2= (3x)^2-(4y)^2=(3x+4y)(3x-4y)$

Here a= 3x and b= 4

Hence, the correct answer is A. $9x^2 - 16y^2$ .

You might be interested in

You deposit $7550 in an account that pays 7.25% interest, compounded continuously. How long to the

Afina-wow [57]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}$

$3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t$