Multiply and simplify if possible. (2x+4)(x-2)
2x^2 - 4
thats wrong
I apologize for my mistake. The correct solution is:
(2x+4)(x-2) = 2x^2 - 4x + 4x - 8
Simplifying and combining like terms, we get:
= 2x^2 - 8
Therefore, the simplified form is 2x^2 - 8.
show your work
Certainly!
(2x+4)(x-2)
= 2x(x-2) + 4(x-2) // Distributive property
= 2x^2 - 4x + 4x - 8 // Simplifying and combining like terms
= 2x^2 - 8 // Simplifying further by combining like terms
To multiply and simplify (2x+4)(x-2), we can use the distributive property of multiplication over addition.
First, distribute the 2x to both terms inside the second parenthesis:
(2x+4)(x-2) = 2x(x) + 2x(-2)
Next, distribute the 4 to both terms inside the second parenthesis:
2x(x) + 2x(-2) = 2x^2 - 4x
So, the simplified expression is 2x^2 - 4x.
To multiply and simplify the expression (2x + 4)(x - 2), you can use the distributive property.
Step 1: Apply the distributive property by multiplying each term of the first expression (2x + 4) by each term of the second expression (x - 2).
First, multiply 2x by x: (2x)(x) = 2x²
Next, multiply 2x by -2: (2x)(-2) = -4x
Then, multiply 4 by x: (4)(x) = 4x
Lastly, multiply 4 by -2: (4)(-2) = -8
Step 2: Combine the like terms, if any.
In this case, the like terms are -4x and 4x, which can be combined to 0x (since -4x + 4x = 0x).
So, the expression becomes: 2x² + 0x - 8, which simplifies to 2x² - 8.
Therefore, the simplified form of (2x + 4)(x - 2) is 2x² - 8.