If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.

A) (a + 2b) ²

B) (2a + 2b) ²

C) (4a + 4b) ²

D) (4a + 8b) ²

Question

Elisabeth Gregory

Mathematics

20 February, 05:47

If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.

A) (a + 2b) ²

B) (2a + 2b) ²

C) (4a + 4b) ²

D) (4a + 8b) ²

+4

Answers (2)

Know the Answer?

Jamie Frye · Answer 1

The answer to your question is: (2a + 2b) ²

Step-by-step explanation:

a² + b² = z

ab = y

Which is equivalent to 4z + 8y?

Substitution

4 (a² + b²) + 8 (ab)

Simplify 4a² + 4b² + 8ab

Order 4a² + 8ab + 4b² It's a perfect square trynomial

Factorize (2a + 2b) ²

If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.A) (a + 2b) ²B) (2a + 2b) ²C) (4a + 4b) ²D) (4a + 8b) ²

If a² + b² = z and ab = y, which of the following is equivalent to 4z + 8y? Show all the steps.

A) (a + 2b) ²

B) (2a + 2b) ²

C) (4a + 4b) ²

D) (4a + 8b) ²