Chapter R.1, Problem 1YT

Finite Mathematics and Calculus wi...

10th Edition
Margaret L. Lial + 2 others
ISBN: 9780321979407

Chapter
Section

Finite Mathematics and Calculus wi...

10th Edition
Margaret L. Lial + 2 others
ISBN: 9780321979407
To determine

To perform: The indicated operation of the expression, 3(x24x5)4(3x25x7) .

The simplified form of the given expression is, 9x2+8x+13 .

Explanation

Given:

The expression is, 3(x24x5)4(3x25x7) .

Property used:

Distributive property: a(b+c)=ab+ac .

Calculation:

Apply the distributive property,

3(x24x5)4(3x25x7)=[((3×x2)+(3×(4x))+(3×5))+(((4)×(3x2))+((4)×(5x))+((4)×(7)))]=((3x2)+(12x)+(15))+((12x2)+(20x)+(28))=(3x212x+15)+(12x2+20x+28)

Remove the parentheses of the given expression.

3(x24x5)4(3x25x7)=3x212x1512x2+20x+28

Combine the like terms of the given expression.

3(x24x5)4(3x25x7)=(3x212x2)+(12x+20x)+(15+28)

Simplify the terms as follows,

3(x24x5)4(3x25x7)=(312)x2+(12+20)x+(15+28)=9x2+8x+13

Therefore, the simplified form of the given expression is, 9x2+8x+13 .

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