Expand:
(5x + 6v)² = (5x + 6v)(5x + 6v)
Remember to follow FOIL:
FOIL is the order in which to multiply when multiplying terms with differing variables:
[tex](5x + 6v)(5x + 6v)[/tex]
First: [tex](5x)(5x) = 25x^{2}[/tex]
Outside: [tex](5x)(6v) = 30xv[/tex]
Inside: [tex](6v)(5x) = 30xv[/tex]
Last: [tex](6v)(6v) = 36v^{2}[/tex]
Combine like terms:
[tex]25x^{2} + 30xv + 30xv + 36v^{2} \\= 25x^{2} + (30xv + 30xv) + 36v^{2}\\= 25x^{2} + 60xv + 36v^{2}[/tex]
Remember to order in descending power (if your teacher asks for it):
[tex]25x^{2} + 36v^{2} + 60xv[/tex]
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