Find the product by using the shortcut pattern for multiplying binomials. $( 2 n - 3 ) ( 6 n - 5 )$
A) $12 n ^ { 2 } - 28 n + 15$
B) $12 n ^ { 2 } - 30 n + 15$
C) $12 n ^ { 2 } - 26 n - 15$
D) $12 n ^ { 2 } + 32 n + 8$
E) $12 n ^ { 2 } + 34 n - 8$

Question

Quizplus · Accepted Answer

The product of the binomials $(2n - 3)(6n - 5)$ is found by using the FOIL method: First terms ($2n \times 6n = 12n^2$), Outer terms ($2n \times -5 = -10n$), Inner terms ($-3 \times 6n = -18n$), and Last terms ($-3 \times -5 = 15$). Adding these together gives $12n^2 - 28n + 15$.

Find the Product by Using the Shortcut Pattern for Multiplying (2n−3)(6n−5)( 2 n - 3 ) ( 6 n - 5 )(2n−3)(6n−5)

Find the Product by Using the Shortcut Pattern for Multiplying $( 2 n - 3 ) ( 6 n - 5 )$