According to the Distributive Property, which is a way to rewrite the algebraic expression (3x−1)(x−4)?(1 point)

Responses

3x(x)+3x(−4)+−1(x)+−1(−4)
3 x left parenthesis x right parenthesis plus 3 x left parenthesis negative 4 right parenthesis plus negative 1 left parenthesis x right parenthesis plus negative 1 left parenthesis negative 4 right parenthesis

3x2−5x+4
3 x squared minus 5 x plus 4

3x(−1)+3x(3x)+x(−4)+x(x)
3 x left parenthesis negative 1 right parenthesis plus 3 x left parenthesis 3 x right parenthesis plus x left parenthesis negative 4 right parenthesis plus x left parenthesis x right parenthesis

3x2+6x+4

9 answers

3x² - 5x + 4

Use the Distributive Property to find which expression is equivalent to 9x2−25.(1 point)
Responses

(3x+5)(3x−5)
left parenthesis 3 x plus 5 right parenthesis left parenthesis 3 x minus 5 right parenthesis

9x(x−25)
9 x left parenthesis x minus 25 right parenthesis

(3x+5)^2
left parenthesis 3 x plus 5 right parenthesis squared

(4.5x+12.5)(4.5x−12.5)

(3x+5)(3x-5)

Use the Distributive Property to verify which expression is equivalent to (x−5)(x−3).(1 point)
Responses

3x2−4x2−3x−15
3 x squared minus 4 x squared minus 3 x minus 15

x2−2x+15
x squared minus 2 x plus 15

2x−2
2 x minus 2

x2−8x+15

x2 - 8x + 15

Which expression is equivalent to (z+4)(z−4)?(1 point)
Responses

z2−8z−16
z squared minus 8 z minus 16

2z2−z2−8
2 z squared minus z squared minus 8

z(z)+4z(z)−4(4)
z left parenthesis z right parenthesis plus 4 z left parenthesis z right parenthesis minus 4 left parenthesis 4 right parenthesis

z2+4z−4z−16

z2 - 16

What is another way to write the expression 2(x+1)(x+2)?(1 point)
Responses

2x2+3x+2
2 x squared plus 3 x plus 2

2x2+5x+2
2 x squared plus 5 x plus 2

2x2+6x+4
2 x squared plus 6 x plus 4

x2+6x+2

2x2 + 6x + 4