a) 6(2x-3)-5(3x-2) i have -3x-8
b) 8-2[3-5(3x-1)] not sure
Thanks
=8-2[3-(15x+5)]
=8-2[-15x-2]
=8+30x+4
=30x+12
thanks
a) To simplify the expression 6(2x - 3) - 5(3x - 2), we need to distribute the numbers outside the parentheses to the terms inside the parentheses.
First, let's distribute 6 to 2x and -3:
6 * 2x = 12x
6 * -3 = -18
Next, let's distribute -5 to 3x and -2:
-5 * 3x = -15x
-5 * -2 = 10
Now we can combine like terms:
12x - 18 - 15x + 10
To simplify further, we can combine the x terms together and the constant terms together:
12x - 15x - 18 + 10
Simplifying the x terms gives us:
-3x - 18 + 10
And simplifying the constant terms gives us:
-3x - 8
Therefore, the simplified expression is -3x - 8.
b) To simplify the expression 8 - 2[3 - 5(3x - 1)], we need to apply the distributive property and follow the order of operations (PEMDAS - Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
First, let's apply the distributive property by multiplying -5 to the expression (3x - 1):
-5 * 3x = -15x
-5 * -1 = 5
Now, we can simplify the expression inside the square brackets: 3 - 5(3x - 1).
-5(3x - 1) = -15x + 5
Now we have:
8 - 2[3 - 15x + 5]
Next, we simplify the expression inside the square brackets by combining like terms:
2[3 - 15x + 5] = 2[-15x + 8]
Now we have:
8 - 2[-15x + 8]
Applying the distributive property again by multiplying 2 to the expression (-15x + 8):
-15x * 2 = -30x
8 * 2 = 16
Now we have:
8 - (-30x + 16)
To simplify further, we distribute the negative sign inside the square brackets:
8 + 30x - 16
Combining constant terms:
-8 + 30x
Therefore, the simplified expression is 30x - 8.