Question

Rewrite without parentheses and simplify. (5x+6v)^ 2?

Answer 1

answer: 36v^2 +60vx +25x^2

Answer 2

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:

$(5x + 6v)(5x + 6v)$

First:  $(5x)(5x) = 25x^{2}$

Outside: $(5x)(6v) = 30xv$

Inside: $(6v)(5x) = 30xv$

Last: $(6v)(6v) = 36v^{2}$

Combine like terms:

$25x^{2} + 30xv + 30xv + 36v^{2} \\= 25x^{2} + (30xv + 30xv) + 36v^{2}\\= 25x^{2} + 60xv + 36v^{2}$

Remember to order in descending power (if your teacher asks for it):

$25x^{2} + 36v^{2} + 60xv$

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