Simplify the following expression using the distributive property:
3(2x + 5) − 4(3x − 1)

A) -6x + 18

B) -6x + 19

C) -6x + 20

D) -6x + 21

Choose the correct option by using the distributive property of multiplication over addition for the following expression:
26(14 + 6).

A) 26( 14 ) - 26 ( 6 )

B) 26( 14 ) + 26 ( 6 )

C) 26( 20 )

D) 520

Simplify the following expression using the distributive property:
\$ ("x" + "y")("x"^2 − "xy" + "y"^2) + "x"^3 \$

A) \$ 2"x"^3 + 4"y"^3 \$

B) \$ 2"x"^3 + 5"y"^3 \$

C) \$ 2"x"^3 + 4"y"^3 \$

D) \$ 2"x"^3 + "y"^3 \$

Simplify the following expression using the distributive property and combine like terms:
2(4a - 3b − 7) − 3(2a + 5b + 1)

A) 2a − 11b − 14

B) 2a − 21b − 15

C) 2a − 11b − 16

D) 2a − 21b − 17

Simplify the following expression using the distributive property:
\$(x^2 + y)(2x − 3y^2) + xz + 2y\$

A) \$2"x"^3 - 5"x"^2"y"^2 + 2"xy" - 3"y"^3 + "xz" + 2"y"\$

B) \$4"x"^3 - 3"x"^2"y"^2 + 2"xy" - 8"y"^3 + "xz" + 12"y"\$

C) \$2"x"^3 - 3"x"^2"y"^2 + 2"xy" - 3"y"^3 + "xz" + 2"y"\$

D) \$4"x"^3 - 3"x"^2"y"^2 + 2"xy" - 3"y"^3 + "xz" + 2"y"\$

Choose the correct option by using the distributive property of multiplication over subtraction for the following expression:
17(9 - 3).

A) 17( 9 ) + 17( 3 )

B) 17( 6 )

C) 17( 9 ) - 17( 3 )

D) 17( 7 ) - 17( 13 )

Simplify the following expression using the distributive property:
\$5"a"(2"b" − 3"c") + 2(4"a" − "b"^2)\$.

A) \$ 10"ab" + 8"a" - 15"ac" - 2"b"^2 \$

B) \$ 10"ab" + 6"a" - 15"ac" - 2"b"^2 \$

C) \$ 10"ab" + 8"a" - 11"ac" - 2"b"^2 \$

D) \$ 10"ab" + 8"a" - 15"ac" - 4"b"^2 \$

Solve the expression -6( 37 - 22) by using the distributive property.

A) -90

B) -100

C) -67

D) -56

Simplify the following expression using the distributive property:
\$4(2("e" − 5) + 7) − 6("e" + 8)\$.

A) 2e - 37

B) 2e - 60

C) 3e - 55

D) 3e - 88

Solve the expression 5(35 + 23) by using the distributive property.

A) 267

B) 290

C) 234

D) 288