Calcula el cuadrado de cada binomio: a. (9 + 4m)^2
b. (x^10 - 5y^2)^2
c. (2x - 3z)^2
d. (4m^5 + 5n^3)^2
e. (3/6w - 1/2y)^2
f. (x10 - 5y2)2

Part A)

Part B)

Part C)

Part D)

Part E)

Part F)

Step-by-step explanation:

The question in English is

Calculate the square of each binomial

we know that

The square of a binomial is always a trinomial

so

and

Part A) we have

Applying the formula

Part B) we have

Applying the formula

Part C) we have

Applying the formula

Part D) we have

Applying the formula

Part E) we have

Applying the formula

Part F) we have

Applying the formula

Note the problem F is the same problem B

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.