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Rufina [12.5K]
3 years ago
11

Which expression is equivalent to

Mathematics
2 answers:
antoniya [11.8K]3 years ago
3 0
I'm pretty sure its B. (9x2+2x-7)(x)+(9x2+2x-7)(-4)
Because its just splitting up the (x-4) and if you add the answers together then you get the same answer as the original<span />
jolli1 [7]3 years ago
3 0

Answer:

B.(9x^{2}+2x-7)(x)+(9x^{2}+2x-7)(-4)

Step-by-step explanation:

Given two expressions between parentheses that are multiplying between them, we can find the equivalent expression if we distribute the terms between them. For example :

The expression (a+b).(c+d) is equivalent to

(a+b).(c+d)=ac+ad+bc+bd because we multiply the first element of the first expression (a+b) by the first element of the second expression (c+d) and then we sum the product between the first element of the expression (a+b) and the second element of the second expression (c+d).Then, we sum the product of the second element of the expression (a+b) and the first element of (c+d) and finally we sum the product of the second element of (a+b) and the second element of (c+d) in order to find the equivalent expression of (a+b).(c+d).

In the exercise :

(9x^{2}+2x-7).(x-4)=(9x^{2})x+(9x^{2})(-4)+(2x)x+(2x)(-4)+(-7)x+(-7)(-4)

Rearranging the expression we obtain :

(9x^{2})x+(2x)x+(-7)x+(9x^{2})(-4)+(2x)(-4)+(-7)(-4)

Factoring the expression :

(9x^{2}+2x-7)(x)+(9x^{2}+2x-7)(-4)

The correct answer is B.

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