Question

State whether each expression is equivalent.

Answer 1

$\huge\text{Hey there!}$

$\large\text{State whether each expression is equivalent.}$

$\large\text{In order for you find out which one is equivalent to each expressions, }\\\large\text{you will have to DISTRIBUTE!}$

$\large\text{Option A. }\downarrow$

$\large\text{3(x + 5)}$

$\large\text{3(x) + 3(5)}\\\large\text{= \bf 3x + 15}\\\large\text{5(x + 3)}\\\large\text{5(x) + 5(3)}\\\large\text{= \bf 5x + 15}\\\large\text{\bf 3x + 15 }\bf \neq\large\text{ \bf 5x + 15}$

$\large\text{Option A. is NOT your ANSWER}$

$\large\text{Option B.}\downarrow$

$\large\text{2(3y - 13)}\\\large\text{2(3y) + 2(-13)}\\\large\text{= \bf 6y - 26}\\\large\text{\bf 6y - 26 = 6y - 26}$

$\large\text{Option B. could POSSIBLY be the ANSWER}$

$\large\text{Option C is NOT be your ANSWER because it is way too big.}$

$\large\text{Option D.}\downarrow$

$\large\text{5(q - 3)}\\\large\text{5(q) + 5(-3)}\\\large\text{\bf = 5q - 15}\\\large\text{\bf 15 - 5q}\neq\large\text{\bf 5q - 15}$

$\large\text{Option D. is NOT your ANSWER}$

$\boxed{\boxed{\large\text{Answer: \bf Option B. 6y - 26 and 2(3y - 13)}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~$\frak{Amphitrite1040:)}$