#21 -can you help me solve this equation:
3x^2 (2x - 2)
i keep getting: 6x ^2 -6
#22 can you check this one:
(2x ^2) (6x^2)
i got 12x
#23 can you check this one:
(4m^2 + m -2) + (-m^2 - 3m)
i got: -4m ^2 + 4m-2
#25 can you check this one:
(3x^2 -x -1) + (2x^2 + 2x -1)
i got: -6x ^2 +1x
#26 (-2n^3)(2n)
i am stuck i got: -2n^3 *2n
for #26 i got: -4n^4
#22 i got 12 x ^4
#23 should be i got: 5m^2 - 2m -2
# 21
3 x ^ 2 ( 2 x - 2 ) =
3 x ^ 2 * 2 x - 3 x ^ 2 * 2 =
6 x ^ 3 - 6 x ^ 2 =
6 x ^ 2 ( x - 1 )
# 22
( 2 x ^ 2 ) ( 6 x ^ 2 ) =
6 * 2 * x ^ 2 * x ^ 2 =
12 x ^ 4
# 23
( 4 m ^ 2 + m - 2 ) + ( - m ^ 2 - 3 m ) =
4 m ^ 2 + m - 2 - m ^ 2 - 3 m =
3 m ^ 2 - 2 m - 2
# 25
( 3 x ^ 2 - x - 1 ) + ( 2 x ^ 2 + 2 x - 1 ) =
3 x ^ 2 + 2 x ^ 2 - x + 2 x - 1 - 1 =
5 x ^ 2 + x - 2
# 26
( - 2 n ^ 3 )( 2 n ) =
- 2 * 2 * n ^ 3 * n =
- 4 n ^ 4
bosnian
for #23
i got 5m ^2 - 2m - 2
can you explain this one again
( 4 m ^ 2 + m - 2 ) + ( - m ^ 2 - 3 m ) =
4 m ^ 2 + m - 2 + ( - m ^ 2 ) + ( - 3 m ) =
4 m ^ 2 + m - 2 - m ^ 2 - 3 m =
4 m ^ 2 - m ^ 2 + m - 3 m - 2 =
3 m ^ 2 - 2 m - 2
Sure! Let's go through each of the equations step by step to check your answers:
#21:
The equation is 3x^2(2x - 2). To simplify this, you need to distribute the 3x^2 to both terms inside the parentheses.
3x^2 * 2x = 6x^3
3x^2 * -2 = -6x^2
So the simplified equation is 6x^3 - 6x^2. Your answer of 6x^2 - 6 is incorrect.
#22:
The equation is (2x^2)(6x^2). To simplify this, you need to multiply the coefficients and add the exponents.
2 * 6 = 12
x^2 * x^2 = x^(2+2) = x^4
So the simplified equation is 12x^4. Your answer of 12x is incorrect.
#23:
The equation is (4m^2 + m - 2) + (-m^2 - 3m). To simplify this, you need to combine like terms.
Combine the terms with the same exponent:
(4m^2 - m^2) = 3m^2
Combine the terms with "m":
(m - 3m) = -2m
Combine the constants:
(-2 - 2) = -4
So the simplified equation is 3m^2 - 2m - 4. Your answer of -4m^2 + 4m - 2 is incorrect.
#25:
The equation is (3x^2 - x - 1) + (2x^2 + 2x - 1). To simplify this, you need to combine like terms.
Combine the terms with the same exponent:
(3x^2 + 2x^2) = 5x^2
Combine the terms with "x":
(-x + 2x) = x
Combine the constants:
(-1 - 1) = -2
So the simplified equation is 5x^2 + x - 2. Your answer of -6x^2 + x is incorrect.
#26:
The equation is (-2n^3)(2n). To simplify this, you need to multiply the coefficients and add the exponents.
-2 * 2 = -4
n^3 * n = n^(3+1) = n^4
So the simplified equation is -4n^4. Your answer of -2n^3 * 2n is incorrect.
I hope this clarifies the solutions for you! Let me know if you have any other questions.