Question

Simplify (x − 4)(2x2 + 3x − 5).

Answer 1

The simplified form of given expression is
`2x^3-5x^2-17x+20`

Solution:

Given that we have to simplify the expression

Given expression is:

`(x-4)(2x^2+3x-5)`

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

`\rightarrow (x-4)(2x^2+3x-5)`

`\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)`

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

`\rightarrow 2x^3+3x^2-5x-8x^2-12x+20`

Combine the like terms

`\rightarrow 2x^3+3x^2-8x^2-5x-12x+20`

`\rightarrow 2x^3-5x^2-17x+20`

Thus the expression is simplified