Help please this is all due tm!
1 answer:
Answer:
D
Step-by-step explanation:
To multiply
(5x² - 6x + 2)(4x² - 3x)
Each term in the second factor is multiplied by each term in the first factor, that is
5x²(4x² - 3x) - 6x(4x² - 3x) + 2(4x² - 3x) ← distribute parenthesis
= 20 - 15x³ - 24x³ + 18x² + 8x² - 6x ← collect like terms
= 20 - 39x³ + 26x² - 6x → D
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Step-by-step explanation:
We have
First, 125 is a perfect cube because
and
x^3 is a perfect cube because
so we can use the difference of cubes identity
Let say we have two perfect cubes:
64 because 8×8×8=64
and 27 because 3×3×3=27 and let subtract
we know that
but using the difference of cubes identity we should get the same thing.
Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have
So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.
Back on to the topic,
we know that 5 is cube root of 125 and x is the cube root of x^3 so we have