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Which expression is equivalent to 3x(bx + 10)–(x^2-5x+c)?

A. -3bx^2+25x+c
B. -x^2(3b+35)x-c
C. (3b-1)x^2-5x+10+c
D. (3b-1)x^2+35x-c

Sagot :

Answer:

The choice D.

[tex](3b - 1) {x}^{2} + 35x - c[/tex]

Step-by-step explanation:

[tex]3x(bx + 10) - ( {x}^{2} - 5x + c) \\ \\( 3b {x}^{2} + 30x) + ( - {x}^{2} + 5x - c) \\ \\ 3b {x}^{2} - {x}^{2} + 35x - c \\ \\ = (3b - 1) {x}^{2} + 35x - c[/tex]

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