Answer:
3b(2a+1)(2a-1)
Step-by-step explanation:
12a²b-3b
3b(4a²-1)
3b{(2a)²-1²)}
3b(2a+1)(2a-1)
Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).
<h3>How to determine the equivalent expression</h3>
We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;
Given: -5x - 15 + 25x - 30
we group like terms together
25x - 5x - 15 - 30
20x - 45
the number 5 is a common factor of 20x and 45, so we have that;
5 × 4x - 5 × 9
by factoring out 5
5(4x - 9)
also;
5(4x - 9) = -5(-4x + 9)
Therefore, -5(-4x + 9) is an equivalent expression to the algebraic expression -5x - 15 + 25x - 30
Learn more about equivalent expression here: brainly.com/question/24734894
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