To multiply and simplify (6−3–√)(3+3–√), we can use the distributive property.
First, let's simplify the expressions within the parentheses separately:
6−3–√ = 6−(3–√) = 6−3+√ = 3+√
3+3–√ = 6−√
Now, we can multiply these simplified expressions:
(3+√)(6−√)
Using the FOIL method (first, outer, inner, last), we can multiply these binomials:
First: 3 × 6 = 18
Outer: 3 × -√ = -3√
Inner: √ × 6 = 6√
Last: √ × -√ = -√² = -√
Combining these terms, we have:
18 - 3√ + 6√ - √
Simplifying further:
18 + (6√ - 3√ - √)
Combining like terms:
18 + 3√ - √
= 18 + 2√
So, (6−3–√)(3+3–√) simplifies to 18 + 2√.
Multiply and simplify if possible. Show ALL work to receive credit.%0D%0A%0D%0ANote: When typing your work, use "sqrt" to represent the radical symbol, followed by parentheses to enclose anything under that radical.%0D%0A%0D%0A(6−3–√)(3+3–√)
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