Rewrite each algebraic expression in an equivalent form with the fewest number of terms possible.
a. 6(x + 7)(x + 2)
b. (2y – 5)
c. (5x + 4y)(2x - y)
d. (3x + 7)(3x – 7)
e. (t + 2) – (4t +9) – t

Step-by-step explanation:

The terms will be multiplied in order to get the simplified polynomials.

a. 6(x + 7)(x + 2)

The simplified form of 6(x + 7)(x + 2) is

b. (2y – 5)^2

Using the formula:

The simplified form is:

c. (5x + 4y)(2x - y)

The simplified form of (5x + 4y)(2x - y) is

d. (3x + 7)(3x – 7)

Using the formula:

The simplified form of (3x + 7)(3x – 7) is

e. (t + 2) – (4t +9) – t

The simplified form of (t + 2) – (4t +9) – t is

Hence,

a. The simplified form of 6(x + 7)(x + 2) is

b. The simplified form is:

c. The simplified form of (5x + 4y)(2x - y) is

d. The simplified form of (3x + 7)(3x – 7) is

e. The simplified form of (t + 2) – (4t +9) – t is

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

300pi

step-by-step explanation: