6t^3 x 6t^3
A.12t^3
B.12t^6
C.36t^6
D.36t^9
-3(4x+5)
A.7x+15
B.7x-15
C.-12x-15
D.-12x+15
5k^2(-6k-2k+6)
A.-30k^3+3k^2+30k
B.30k^4-10k^3+11k^2
C.-k^4+3k^3+11k^2
D.30k^4-10k^3+30k^2
(-4x).9x^2
A.-36^3
B.-36x^2
C.5x^3
D.5x^2
16. (2.2 . 10^-3) (4 . 10^-2
A. 2.2 . 10^6
B. 2.2 .10^-5
C. 8.8 . 10^6
D. 8.8 . 10^-5 the answers i have are dcad
5k^2(-6k-2k+6)
i think you typed this wrong, or maybe one of the options. Expanded it is -30k^3 -10k^3+30k^2 simplified it is -40k^3+30k^2
I get AC?BD
To solve these problems, we'll follow the rules of multiplying algebraic expressions and use the properties of exponents.
1. 6t^3 x 6t^3:
To multiply these expressions, we multiply the coefficients (6 x 6 = 36) and combine the variables by adding the exponents (t^3 x t^3 = t^(3+3) = t^6). Therefore, the correct answer is option B. 12t^6.
2. -3(4x+5):
To distribute -3 to the terms inside the parentheses, we multiply -3 by each term. (-3 x 4x = -12x) and (-3 x 5 = -15). The expression becomes -12x - 15, so the correct answer is option C. -12x - 15.
3. 5k^2(-6k-2k+6):
To distribute 5k^2 to the terms inside the parentheses, we multiply 5k^2 by each term. (5k^2 x -6k = -30k^3), (5k^2 x -2k = -10k^3), and (5k^2 x 6 = 30k^2). The expression becomes -30k^3 - 10k^3 + 30k^2. Combining like terms, we get -40k^3 + 30k^2. Therefore, the correct answer is none of the given options.
4. (-4x)(9x^2):
To multiply these expressions, we multiply the coefficients (-4 x 9 = -36) and combine the variables by adding the exponents (x x x^2 = x^(1+2) = x^3). Therefore, the correct answer is option A. -36x^3.
5. (2.2 x 10^-3)(4 x 10^-2):
To multiply these numbers, we multiply the decimal parts (2.2 x 4 = 8.8) and add the exponents of 10 (10^-3 x 10^-2 = 10^(-3+(-2)) = 10^-5). Therefore, the correct answer is option B. 2.2 x 10^-5.
So, the correct answers are B, C, None, A, and B respectively.