Factor the expression below. 25x^2+20x+4
a. (5x+2)(5x+2)
b. (25x-2)(x-2)
c. (5x-2)(5x-2)
d. (25x+2)(x+5)

9514 1404 393

  a. (5x+2)(5x+2)

Step-by-step explanation:

You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:

  2(5x)(2) = 20x

This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.

  25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)

Generically, ...

  (a +b)^2 = a^2 +2ab +b^2

Here, we have a=5x, b=2.

Thx for the points my friend

Step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls