Question

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

Answer 1

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

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

$(4x)^{2} - 2 \times 4x \times 5 + {5}^{2}$

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

${4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2}$

3) Simplify 4² to 16.

$16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2}$

4) Simplify 5² to 25.

$16 {x}^{2} - 2 \times 4x \times 5 + 25$

5) Simplify 2 × 4x × 5 to 40x.

${16x}^{2} - 40x + 25$

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

Answer 2

(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