Question

Show that (2x + 3)(5x + 2)(x - 5) = 10x³ - 31x² - 89x - 30
for all values of x.

Answer 1

it is a very hard question but here is the answer

Answer 2

10x³ -31x² -89x -30

Explanation:

You want to verify (2x + 3)(5x + 2)(x - 5) = 10x³ - 31x² - 89x - 30.

Distributive property

Using the distributive property, we can expand the product of the first two factors:

= (2x(5x +2) +3(5x +2))(x -5)

= (10x² +4x +15x +6)(x -5)

= (10x² +19x +6)(x -5) . . . . . combine like terms

Using the distributive property again, we can expand this product.

= x(10x² +19x +6) -5(10x² +19x +6)

= 10x³ +19x² +6x -50x² -95x -30

= 10x³ -31x² -89x -30 . . . . . QED

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