How do you simplify (x-3)(2x-5)-(x+1)(x-6)?

Elaina Conner

Elaina Conner

Answered question

2022-02-10

How do you simplify (x-3)(2x-5)-(x+1)(x-6)?

Answer & Explanation

Biscatta9rz

Biscatta9rz

Beginner2022-02-11Added 14 answers

Explanation:
You can expend the expression.
(x-3)(2x-5)-(x+1)(x-6)
=(x)(2x)+(x)(-5)-3(2x)-3(-5)
-[(x)(x)+(x)(-6)+1(x)+1(-6)]
=2x25x6x+15(x26x+x6)
=2x211x+15x2+5x+6
=x26x+21
Iacopelli5co

Iacopelli5co

Beginner2022-02-12Added 15 answers

(x-3)(2x-5)-(x+1)(x-6)
Use the distributive law to expand both equations:
(a+b)*(c+d)=(ac+ad+bc+bd)
=((x*2x)+(x*-5)+(-3*2x)+(-3*-5))
-((x*x)+(x*-6)+(1*x)+(1*-6))
=(2x25x6x+15)(x26x+x6)
=(2x211x+15)(x25x6)
=2x211x+15x2+5x+6
=x26x+21
Therefore:
(x3)(2x5)(x+1)(x6)=x26x+21

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