How do you simplify $6 y (5 y - 8) + 42 y$ $6y (5y - 8) + 42y$ ?

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Answer 1 · 2018-05-27T13:52:47

$30 y^{2} - 6 y$ $30y^2 - 6y$

$6 y (5 y - 8) + 42 y$ $6y(5y - 8) + 42y$

First, distribute $6 y$ $6y$ to the terms inside the parentheses, $5 y$ $5y$ and $- 8$ $-8$ . To do this, multiply each term by $6 y$ $6y$ .

$6 y \cdot 5 y = 30 y^{2}$ $6y * 5y = 30y^2$
$6 y \cdot - 8 = - 48 y$ $6y * -8 = -48y$

Re-write the equation to reflect new information:

$30 y^{2} - 48 y + 42 y$ $30y^2 - 48y + 42y$

Now, combine like terms. $- 48 y$ $-48y$ and $42 y$ $42y$ are like terms, so add them together:

$- 48 y + 42 y = - 6 y$ $-48y + 42y = -6y$

Therefore, your simplified expression is:

$30 y^{2} - 6 y$ $30y^2 - 6y$

How do you simplify 6y (5y - 8) + 42y6y(5y−8)+42y6y (5y - 8) + 42y?