Question

find the product (6.9 - 6|1.37 + 4.5 + 8|

Explanation:

Step1: Simplify the second factor

Combine like terms in $(-2a + 4a - 6)$:
$(-2a + 4a) - 6 = 2a - 6$
Now the expression is $(6a - 6)(2a - 6)$

Step2: Factor out common terms

Factor 6 from first binomial, 2 from second:
$6(a - 1) \times 2(a - 3) = 12(a - 1)(a - 3)$

Step3: Expand $(a-1)(a-3)$

Use FOIL method:
$(a \times a) + (a \times -3) + (-1 \times a) + (-1 \times -3) = a^2 - 3a - a + 3 = a^2 - 4a + 3$

Step4: Multiply by 12

Distribute 12 across the trinomial:
$12(a^2 - 4a + 3) = 12a^2 - 48a + 36$

Answer:

$12a^2 - 48a + 36$