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weeeeeb [17]
3 years ago
6

What is the product of 2x - 5 and 3x² + 5x - 7? Write your answer in standard form.

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

(a)

( 2x - 5 )(3x^{2}  + 5x - 7)\\\\=2x(3x^2+5x-7)-5(3x^2+5x-7)\\\\=6x^3+10x^2-14x-15x^2-25x+35\\\\=6x^3+(10x^2-15x^2)+(-14x-25x)+35\\\\=6x^3-5x^2-39x+35

(b)

(2x-5)(3x^2+5x-7)=(5x-2)(3x^2+5x-7)\\\\\frac{1}{(3x^2+5x-7)}(2x-5)(3x^2+5x-7)= \frac{1}{(3x^2+5x-7)}(5x-2)(3x^2+5x-7)\\\\2x-5=5x-2\\\\2x-5x=-2+5\\\\-3x=3\\\\x=-1

only happens when x=-1, not always

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