5. Simplify: -15y^2+3[-y^2-2(5-y^2)]

-6 (2 y^2 + 5)

Step-by-step explanation:

Simplify the following:

3 (-y^2 - 2 (5 - y^2)) - 15 y^2

Hint: | Distribute -2 over 5 - y^2.

-2 (5 - y^2) = 2 y^2 - 10:

3 (2 y^2 - 10 - y^2) - 15 y^2

Hint: | Group like terms in 2 y^2 - y^2 - 10.

Grouping like terms, 2 y^2 - y^2 - 10 = (2 y^2 - y^2) - 10:

3 (2 y^2 - y^2) - 10 - 15 y^2

Hint: | Combine like terms in 2 y^2 - y^2.

2 y^2 - y^2 = y^2:

3 (y^2 - 10) - 15 y^2

Hint: | Distribute 3 over y^2 - 10.

3 (y^2 - 10) = 3 y^2 - 30:

3 y^2 - 30 - 15 y^2

Hint: | Group like terms in 3 y^2 - 15 y^2 - 30.

Grouping like terms, 3 y^2 - 15 y^2 - 30 = (3 y^2 - 15 y^2) - 30:

(3 y^2 - 15 y^2) - 30

Hint: | Combine like terms in 3 y^2 - 15 y^2.

3 y^2 - 15 y^2 = -12 y^2:

-12 y^2 - 30

Hint: | Factor out the greatest common divisor of the coefficients of -12 y^2 - 30.

Factor -6 out of -12 y^2 - 30:

-6 (2 y^2 + 5)

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