(14-3x)2 simplified using the distributive property.

Mathematics

1 answer:

ivolga24 [154]4 years ago

6 0

Answer: 28-6x

This is the same as -6x+28

===============================

To get that answer, you multiply each term inside the parenthesis by the outer term 2

14 * 2 = 28

-3x * 2 = -6x

So,

(14-3x)*2 = 14*2 - 3x*2 = 28-6x

----------

The distribution rule says

a(b-c) = ab-ac

which is the same as saying

(b-c)a = ba-ca

We can flip things around because we can multiply in any order.

You might be interested in

Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro

NemiM [27]

Answer:

Could you possible elaborate on the question more?

6 0

3 years ago

Find the 52nd term of the following arithmetic sequence.<br> 3, 9, 15, 21,

Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

$t_n=a +(n-1)d \\ \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\ \therefore \: t_{52}=3 +306 \\ \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\$

4 0

3 years ago

Which expression is equivalent to the following complex fraction?

Sedbober [7]

Answer:

$\dfrac{2(y-2x)}{3y-5x}$

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

$\dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}$