125k views
2 votes
Simplify without parentheses
(4v-3w)^2

Explain.

User BufBills
by
9.3k points

2 Answers

3 votes
(4v - 3w)²
(4v - 3w)(4v - 3w)
4v(4v - 3w) - 3w(4v - 3w)
4v(4v) - 4v(3w) - 3w(4v) - 3w(-3w)
16v² - 12vw - 12vw + 9w²
16v² - 24vw + 9w²
User Simon Soriano
by
8.4k points
3 votes
(4v-3w)∧2, Its to the second power so take the exponent 2 and put it on the variables and coefficients so you would have (4∧2)(v∧2)-(3∧2)(w∧2). Then you would do the math and get 16v∧2-9w∧2 than you would add the like terms so you have 25v∧2w∧2.
User Chuacw
by
8.2k points