Math

QuestionWhich expression equals (13x4)(20x15)(13 x-4)-(20 x-15)? (A) 33x+1133 x+11 (B) 33x1933 x-19 (C) 7x19-7 x-19 (D) 7x+11-7 x+11

Studdy Solution

STEP 1

Assumptions1. We are given two expressions (13x4)(13x-4) and (20x15)(20x-15). . We are asked to find the equivalent expression of the subtraction of these two expressions.

STEP 2

First, we need to distribute the negative sign to the terms in the second expression. This is because we are subtracting the entire second expression from the first.
(13x4)(20x15)=13x420x+15(13x -4) - (20x -15) =13x -4 -20x +15

STEP 3

Next, we need to combine like terms. In this case, the like terms are the terms with xx and the constant terms.
13x20x+1513x -20x - +15

STEP 4

Subtract the xx terms and add the constant terms.
=(1320)x+(4+15)= (13 -20)x + (-4 +15)

STEP 5

Calculate the coefficients of xx and the constant term.
=7x+11= -7x +11So, the expression (13x4)(20x15)(13x -4) - (20x -15) is equivalent to 7x+11-7x +11.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord