Simplify the expression (2x−9)+(x−7)

Answers

2x²+3x-54

Step-by-step explanation:

To simplify the expression

(2x − 9)(x + 6)

We will multiply both linear equations together to get a quadratic equation of second degree.

(2x − 9)(x + 6)

= 2x²+12x-9x-54

= 2x²+3x-54

This gives the required quadratic expression after simplification.

13x +5

Step-by-step explanation:

(2x + 9) + (11x-4)​

Combine like terms

2x+11x +9-4

13x +5

2x^2+3x-54

Step-by-step explanation:

The given expression is (2x-9)(x+6)

Distributive property:

a(b+c)=ab+ac

or (b+c)a=ba+ca

By distributive property the above expression will be written as :

(2x-9)x+(2x-9)6\\\\(2x)x-9x+(2x)(6)-(9)(6)\\\\2x^2-9x+12x-54\\\\2x^2+(-9+12)x-54\\\\2x^2+3x-54

Hence, (2x-9)(x+6)=2x^2+3x-54

2x^2+3x-54

Step-by-step explanation:

The given expression is (2x-9)(x+6)

Distributive property:

a(b+c)=ab+ac

or (b+c)a=ba+ca

By distributive property the above expression will be written as :

(2x-9)x+(2x-9)6\\\\(2x)x-9x+(2x)(6)-(9)(6)\\\\2x^2-9x+12x-54\\\\2x^2+(-9+12)x-54\\\\2x^2+3x-54

Hence, (2x-9)(x+6)=2x^2+3x-54

2x^2+3x-54

Step-by-step explanation:

The given expression is (2x-9)(x+6)

Distributive property:

a(b+c)=ab+ac

or (b+c)a=ba+ca

By distributive property the above expression will be written as :

(2x-9)x+(2x-9)6\\\\(2x)x-9x+(2x)(6)-(9)(6)\\\\2x^2-9x+12x-54\\\\2x^2+(-9+12)x-54\\\\2x^2+3x-54

Hence, (2x-9)(x+6)=2x^2+3x-54

2x^2+12x-9x-54

2x^2+3x-54
(2x-9)•(x+6)

2x•x+2x•6-9•x-9•6

2x²+12x-9x-54
2x²+(12-9)•x -54
2x²+3x-54
(2x-9)(x+6)
2x(x+6)-9(x+6)
2x^2+6x-9x-54
2x^2+3x-54=c
It belongs to option C
(2x - 9)(x + 6) = 2x(x + 6) - 9(x + 6) = 2x² + 12x - 9x - 54 = 2x² + 3x - 54
( 2x - 9 ) ( x + 6 )

( 2x ) ( x ) + ( 2x ) ( 6 ) + ( - 9 ) ( x ) + ( - 9 ) ( 6 )

2x² + 12x - 9x - 54

2x² + 3x - 54.


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