Simplify: -3(y + 2)² - 5 + 6y what is the simplified product in standard form?

Solution:

Given, the equation is -3(y + 2)² - 5 + 6y

We have to find the simplified product in standard form.

By using algebraic formula,

(a + b)² = a² + 2ab + b²

(y + 2)² = y² + 4y + 4

By multiplicative and distributive property,

-3(y + 2)² = -3(y² + 4y + 4)

= -3y² - 12y - 12

So, -3(y + 2)² - 5 + 6y = -3y² - 12y - 12 - 5 + 6y

By grouping,

= -3y² - 12y + 6y - 12 - 5

= -3y² - 6y - 17

Therefore, the simplified product is -3y² - 6y - 17.

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Simplify: -3(y + 2)² - 5 + 6y what is the simplified product in standard form?

Summary:

The simplified product of -3(y + 2)² - 5 + 6y in standard form is -3y² - 6y - 17.