(b-4)-answer.jpeg "(b-2)(b-4) Answer")
Expanding the Expression: (b-2)(b-4)
When we multiply two binomials, we need to follow the correct order of operations and apply the distributive property of multiplication over addition. In this case, we have the expression (b-2)(b-4). Let's break it down step by step.
Multiplying the Two Binomials
To multiply (b-2) and (b-4), we need to multiply each term in the first binomial with each term in the second binomial.
(b-2) × (b-4) = ?
We'll start by multiplying the b term in the first binomial with the b term in the second binomial:
b × b = b^2
Next, we'll multiply the b term in the first binomial with the -4 term in the second binomial:
b × -4 = -4b
Then, we'll multiply the -2 term in the first binomial with the b term in the second binomial:
-2 × b = -2b
Finally, we'll multiply the -2 term in the first binomial with the -4 term in the second binomial:
-2 × -4 = 8
Combining Like Terms
Now that we have all the terms, we can combine them to get the final answer:
(b-2)(b-4) = b^2 - 4b - 2b + 8
We can simplify the expression by combining like terms:
(b-2)(b-4) = b^2 - 6b + 8
And there you have it! The expanded form of the expression (b-2)(b-4) is b^2 - 6b + 8.
