Question

Question 1 of 20 Multiply. (4x - 5)^2

A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25​

Answer 1

(4x - 5)^2
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25

Answer: B

Answer 2

B) 16x² - 40x + 25

Explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

`(4x)^(2) - 2 * 4x * 5 + {5}^(2)`

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

`{4}^(2) {x}^(2) - 2 * 4x * 5 + {5}^(2)`

3) Simplify 4² to 16.

`16 {x}^(2) - 2 * 4x * 5 + {5}^(2)`

4) Simplify 5² to 25.

`16 {x}^(2) - 2 * 4x * 5 + 25`

5) Simplify 2 × 4x × 5 to 40x.

`{16x}^(2) - 40x + 25`

Thus, the Anwer is Option B) 16x² - 40x + 25 .