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Anton [14]
3 years ago
9

(17+4) + 9 = 17 + (4+9)

Mathematics
1 answer:
valina [46]3 years ago
6 0
That's the associative property of addition

it is normally written as
(a+b)+c=a+(b+c)
which is like what you have
(17+4)+9=17+(4+9)
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Solution:

Given:

(2x^2+2x+1)(4x-1)

To get the product of the polynomial; we use the distributive property of multiplication.

a(b+c)=ab+ac

\begin{gathered} (4x-1)(2x^2+2x+1) \\ 4x(2x^2+2x+1)-1(2x^2+2x+1) \\ =8x^3+8x^2+4x-2x^2-2x-1 \\ \text{Collecting similar terms together and simplifying further;} \\ =8x^3+8x^2-2x^2+4x-2x-1 \\ =8x^3+6x^2+2x-1 \end{gathered}

Therefore, the product of the polynomials is;

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