Y = 5(x - 2 ) (x + 1)
y = 5(x² + x -2x - 2)
y = 5(x² - x - 2)
y = 5x² - 5x - 10

------------------------------------
Answer: y = 5x² - 5x - 10
------------------------------------

3 0

3 years ago

Read 2 more answers

5. Verify the property a× (b-c)= a×b-a×c for each of the following: a= -3\5; b= 5\9; c= -10\3

ohaa [14]

Answer:

We conclude that

$a\times \left(b-c\right)=\:a\times b-a\times c$

$-\frac{7}{3}=-\frac{7}{3}$

L.H.S = R.H.S

Step-by-step explanation:

Given the property expression

$a\times \left(b-c\right)=\:a\times b-a\times c$

Given that:

a = -3/5

b = 5/9

c = -10/3

Determining the LEFT-HAND SIDE

$a\times \left(b-c\right)$

substituting a= -3/5, b= 5/9 and c= -10/3

$a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:$

$=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:$

$=-\frac{3}{5}\times \frac{35}{9}$

$=-\frac{7}{3}$

Determining the RIGHT-HAND SIDE

$\:a\times \:b-a\times \:c$

substituting a= -3/5, b= 5/9 and c= -10/3

$\:a\times \:b-a\times \:c=ab-ac$

$=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)$

$=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}$

$=-\frac{15}{45}-\frac{30}{15}$

$=-\frac{1}{3}-2$

$=\frac{-7}{3}$

Apply the fraction rule: $\frac{-a}{b}=-\frac{a}{b}$

$=-\frac{7}{3}$

Therefore, we conclude that

$a\times \left(b-c\right)=\:a\times b-a\times c$

$-\frac{7}{3}=-\frac{7}{3}$

L.H.S = R.H.S

5 0

3 years ago