How do you simplify the expression $(-2c + 3d)(-5) + 3(2c) - (-8d)$ ?

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Answer 1 · 2015-04-11T09:59:43

We facortise this expression using the PEMDAS rule
(Parentheses > Exponents > Mult and Div > Add and Subtract)

$(-2c + 3d)(-5) + 3(2c) - (-8d)$ is the expression given to us.

We Multiply terms before we perform Addition/Subtraction

$= (-2c*-5) + (3d*-5) + 3(2c) - (-8d)$
( We used the Distributive Property of Multiplication)

$= (10c) + (-15d) + 6c + 8d$

$= 10c - 15d + 6c + 8d$

We group like terms

$= (10c + 6c) + (8d - 15d)$

$= (16c) + (-7d)$

$color(green)( = 16c - 7d$

How do you simplify the expression (-2c + 3d)(-5) + 3(2c) - (-8d)(-2c + 3d)(-5) + 3(2c) - (-8d)?