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

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

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step-by-step explanation:

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.