Question

Which expression is equivalent to 14x2 + 35x when it is completely factored? A. 7x(2x + 5) B. 7(2x2 + 5x) C. 14x(x + 3) D. x(14x + 35)

Answer 1

B. 7(2x2 + 5x)

Explanation:

14x2 + 35x = 63x

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A) formula --> a(b + c) = ab + ac

a = 7x , b = 2x, c = 5 = 7 x 2xx + 7 x 5x

=14x^2 + 35x

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B) 7 (2x x 2 + 5x)

=7 (4x + 5x)

=7 x 9x = 63x

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C) formula --> a(b + c) = ab + ac

a = 14x , b = x , c = 3

= 14xx + 14x x 3

= 14xx + 14 x 3x

= 14x^2 + 42x

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D) formula --> a(b + c) = ab + ac

a = X , b = 14x , c = 35

= X x 14x + X x 35

= 14xx + 35x

14xx = 14x^2

= 14x^2 + 35x