Write these as a product
a) (2b–5)^2–36
b) 9–(7+3a)^2
c) (4–11m)^2–1

thanks in advance :)

Answer

a)

b)

c)

Explanation

a) The given expresion is

We rewrite as difference of two squares

Recall that:

This implies that:

Or

This simplifies to give:

b) The second expression is

We rewrite as perfect squares yo get:

This gives:

This implies that

We simplify to get:

c) The third expression is:

We obtain the difference of two squares as:

We simplify within the parenthesis to get:

We simplify further to get;

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.