Multiply (x - 4) (x+2)
To multiply (x - 4) and (x + 2), you can use the distributive property:
(x - 4)(x + 2)
= x(x) + x(2) - 4(x) - 4(2)
= x^2 + 2x - 4x - 8
= x^2 - 2x - 8
Therefore, (x - 4)(x + 2) = x^2 - 2x - 8.
Greatest common factor of 2x² and 4x²y?
To find the greatest common factor of 2x² and 4x²y, we need to factor out the greatest common factor from both terms.
Both 2x² and 4x²y have x² as a common factor. However, 2 and 4 are also common factors but 4 is the greatest common factor as it can be divided evenly into both numbers.
So, the greatest common factor of 2x² and 4x²y is 4x².
Rewrite 6x + 18x² by factoring out GCF
To factor out the greatest common factor (GCF) of 6x and 18x², we first need to identify the GCF of both terms.
The GCF of 6x and 18x² is 6x because it is the highest number that divides evenly into both terms.
Now, rewrite 6x + 18x² by factoring out the GCF which is 6x:
6x + 18x² = 6x(1 + 3x)
Therefore, 6x + 18x² can be rewritten as 6x(1 + 3x) after factoring out the greatest common factor.
7(4x - 15) =63 solve
To simplify and solve the equation 7(4x - 15) = 63, you need to first distribute the 7 on the left side of the equation:
7(4x - 15) = 7*4x - 7*15
28x - 105 = 63
Now, add 105 to both sides of the equation to isolate the variable term:
28x - 105 + 105 = 63 + 105
28x = 168
Next, divide by 28 on both sides to solve for x:
28x / 28 = 168 / 28
x = 6
Therefore, the solution to the equation 7(4x - 15) = 63 is x = 6.