Which shows 42^2 - 38^2 being evaluated using the difference of perfect squares method?

A) 42^2 - 38^2 = (1,764 - 1,444) (1,764 + 1,444) = 1,026,560

B) 42^2 - 38^2 = 84 - 76 = 8

C) 42^2 - 38^2 = (42 - 38) ^2 = (4) ^2 = 16

D) 42^2 - 38^2 = (42 + 38) (42 - 38) = (80) (4) = 320

Question

Mathematics

Angel Shaffer

5 December, 06:03

Which shows 42^2 - 38^2 being evaluated using the difference of perfect squares method?

A) 42^2 - 38^2 = (1,764 - 1,444) (1,764 + 1,444) = 1,026,560

B) 42^2 - 38^2 = 84 - 76 = 8

C) 42^2 - 38^2 = (42 - 38) ^2 = (4) ^2 = 16

D) 42^2 - 38^2 = (42 + 38) (42 - 38) = (80) (4) = 320

+4

Answers (2)

Know the Answer?

Marisa Krueger · Answer 1

Marisa Krueger 5 December, 08:18

0

Answer:The correct answer is D

Emily · Answer 2

D

Step-by-step explanation:

a² - b² ← is a difference of squares and is factored in general as

(a + b) (a - b)

42² - 38² ← is a difference of squares and factors as

42² - 38² = (42 + 38) (42 - 38) = 80 (4) = 320 → D

Which shows 42^2 - 38^2 being evaluated using the difference of perfect squares method?A) 42^2 - 38^2 = (1,764 - 1,444) (1,764 + 1,444) = 1,026,560B) 42^2 - 38^2 = 84 - 76 = 8C) 42^2 - 38^2 = (42 - 38) ^2 = (4) ^2 = 16D) 42^2 - 38^2 = (42 + 38) (42 - 38) = (80) (4) = 320

Which shows 42^2 - 38^2 being evaluated using the difference of perfect squares method?

A) 42^2 - 38^2 = (1,764 - 1,444) (1,764 + 1,444) = 1,026,560

B) 42^2 - 38^2 = 84 - 76 = 8

C) 42^2 - 38^2 = (42 - 38) ^2 = (4) ^2 = 16

D) 42^2 - 38^2 = (42 + 38) (42 - 38) = (80) (4) = 320