Question

multiply (x - 2)(3x + 4) using the dstributive proprty. select the answer choice showing the correct distribution

Answer 1

Answer:

$(x-2)(3x+4)=3x^{2}-2x-8$

Step-by-step explanation:

The concept of distributive property is used in the field of algebra. It is one of the properties of multiplication that is applied with respect to a sum or a subtraction. This property indicates that two or more terms present in a sum or subtraction multiplied by another quantity, is equal to the addition or subtraction of the multiplication of each of the terms of the addition or subtraction by the number.

In other words: a number multiplied by the sum of two addends is identical to the sum of the products of each of the addends by that number.

Solving:

$(x-2)(3x+4)=x(3x+4)-2(3x+4)\\(x-2)(3x+4)=3x^{2} +4x-6x-8\\(x-2)(3x+4)=3x^{2}-2x-8$