Whae is the product of (6a + 1)(2a - 9)?

Question

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Answer 1

Given that  (6a+1) (2a-9)

FOIL method: the product of two binomials is the sum of the products of the First terms, the Outer terms, the Inner terms and the Last terms.

= 6a ( 2a - 9 ) + 1( 2a - 9 )

=6a(2a) + 6a(-9)+1(2a)+1(-9)

=12a²- 54a+2a - 9

=12a²-52a - 9

Given that  (6a+1) (2a-9) product is 12a² - 52a - 9.

Answer 2

Go first times first 6a x 2a =12a^2
Outside times outside 6a x -9 = -54a
inside times inside 1 x 2a= 2a
last times last 1 x -9= -9

so together you get 12a^2-52a-9