Can anyone please show me how to solve (5¡Ì7 ¨C 10¡Ì2)(4¡Ì7 + 8¡Ì2)
To solve the expression (5√7 - 10√2)(4√7 + 8√2), you can use the distributive property, which states that when you have a binomial multiplied by another binomial, you multiply each term in the first binomial by each term in the second binomial.
So, let's break down the expression step by step:
(5√7 - 10√2)(4√7 + 8√2)
First, apply the distributive property by multiplying the terms in the first binomial (5√7 - 10√2) by the terms in the second binomial (4√7 + 8√2):
1. Multiply the first term (5√7) by each term in the second binomial:
5√7 * 4√7 = 20√(7 * 7) = 20√49 = 20 * 7 = 140
5√7 * 8√2 = 40√(7 * 2) = 40√14
2. Multiply the second term (-10√2) by each term in the second binomial:
-10√2 * 4√7 = -40√(2 * 7) = -40√14
-10√2 * 8√2 = -80√(2 * 2) = -80 * 2 = -160
Now, simplify the expression by combining like terms:
140 + 40√14 - 40√14 - 160
The terms 40√14 and -40√14 are like terms and cancel each other out, leaving us with:
140 - 160 = -20
Therefore, the solution to the expression (5√7 - 10√2)(4√7 + 8√2) is -20.