1. Multiply 2ab(−a+2b+3)
A. −2a+2ab+3b
B. 8ab
C. −2a2b+4ab2+6ab
D. 8a2b2
2. Simplify the expression using multiplication.
xy(3x^2+2x−3y)
A. 3x^3+2xy−3y
B. 3x^3y+2x^2y−3xy^2
C. 3x^3+2x^2−3y^2
D. 2x^3y^2
3. Multiply: (x−5) (x+3)
A. X^2−15
B. X^2−2x−15
C. X^2+2x−15
D. X^2−2x+15
4. The area of a rectangle is given by the expression (x+3)(4x−2) . Which of the following is an equivalent expression for the area?
A. 13x−2
B. 14x−6
C. 4x^2+10x−6
D. 4x^2+14x+6
5. Multiply: (x+2)(x2−3x+4)
A. 2x^2−6x+8
B. X^2−2x+6
C. X^3−x^2−2x+8
D. X^3+5x^2+10x+8
1. C. −2a2b+4ab2+6ab
2. B. 3x^3y+2x^2y−3xy^2
3. A. X^2−15
4. C. 4x^2+10x−6
5. D. X^3+5x^2+10x+8
1. The correct answer is C. −2a^2b+4ab^2+6ab.
To multiply 2ab(-a+2b+3), distribute the 2ab to each term inside the parentheses:
2ab * -a = -2a^2b
2ab * 2b = 4ab^2
2ab * 3 = 6ab
Combining these terms, we get -2a^2b+4ab^2+6ab.
2. The correct answer is B. 3x^3y+2x^2y−3xy^2.
To simplify xy(3x^2+2x−3y), distribute the xy to each term inside the parentheses:
xy * 3x^2 = 3x^3y
xy * 2x = 2x^2y
xy * -3y = -3xy^2
Combining these terms, we get 3x^3y+2x^2y−3xy^2.
3. The correct answer is B. x^2−2x−15.
To multiply (x−5)(x+3), use the FOIL method:
First: x * x = x^2
Outer: x * 3 = 3x
Inner: -5 * x = -5x
Last: -5 * 3 = -15
Combine these terms to get x^2−2x−15.
4. The correct answer is C. 4x^2+10x−6.
To find an equivalent expression for the area of a rectangle given by (x+3)(4x−2), use the FOIL method:
First: x * 4x = 4x^2
Outer: x * -2 = -2x
Inner: 3 * 4x = 12x
Last: 3 * -2 = -6
Combine these terms to get 4x^2+10x−6.
5. The correct answer is C. x^3−x^2−2x+8.
To multiply (x+2)(x^2−3x+4), use the FOIL method:
First: x * x^2 = x^3
Outer: x * -3x = -3x^2
Inner: 2 * x^2 = 2x^2
Last: 2 * -3x = -6x
Combine these terms to get x^3−x^2−2x+8.