Answer:
(8x - 3)(x + 2)
Step-by-step explanation:
A factorization must have a result equals to the original expression.
In this question:
For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.
(8x - 3)(x + 2)
8x² + 16x - 3x - 6 = 8x² + 13 - 6
Equal, so this is the factorization.
(x-6)(8x + 1)
8x² + x - 48x - 6 = 8x² - 47x - 6
Different
(2x - 2)(4x + 3)
8x² + 6x - 8x - 6 = 8x² - 2x - 6
Different
(4x - 1)(2x + 6)
8x² + 24x - 2x - 6 = 8x² + 22x - 6
Different
Factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
Factorization simply means to write an algebraic expression as products of two factors.
Given the algebraic expression:
8x² + 13x - 6
Factorize as follows:
8x² + 16x - 3x - 6
(8x² + 16x) - (3x - 6)
8x(x + 2) -3(x + 2)
(8x−3)(x+2)
Therefore, factorizing the algebraic expression, 8x² + 13x - 6, we would have: (8x−3)(x+2).
Learn more about factorization on:
https://brainly.com/question/25829061
