swickham261
Answered

Which of these statements is a valid perfect square trinomial?

Statement 1: x2 + 10x + 100 = (x − 10)2
Statement 2: a2 + 2ab + b2 = (a + b)2

Group of answer choices

Statement 1 and statement 2 are valid.

Statement 1 and statement 2 are invalid.

Only statement 1 is valid.

Only statement 2 is valid.

Answer :

mhanifa

Answer:

  • D. Only statement 2 is valid

Step-by-step explanation:

Verify if the statements are correct

Statement 1:

  • x² + 10x + 100 = (x − 10)²
  • x² + 10x + 100 = x² + 2(x)(-10) + (-10)²
  • x² + 10x + 100 = x² - 20x + 100
  • LHS ≠ RHS

Statement 2:

  • a² + 2ab + b² = (a + b)²
  • a² + 2ab + b² = a² + 2ab + b²
  • LHS = RSH

As we see the second statement is valid but not the first one.

Correct choice is D

Answer:

Statement 2 only

Step-by-step explanation:

2nd one is the identity so no need to verify its true

1st one

  • (x-10)²
  • x²-20x+100

Hence wrong

Other Questions