Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
Answer:
m = 3
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3
Answer:
=1.23*10^6
Step-by-step explanation:
We have to calculate
(1.93*10^7 )-(9.7*10^6)
In order to add or subtract two numbers in scientific notation, we have to make sure that the power of exponents in both numbers is same.
We have to reduce the power of 10 in first number from 7 to 6
So,
Step 1:
1.93*10^7=1.93*10*10^6
=10.93*10^6
Now,
Step 2:
=(1.93*10^7 )-(9.7*10^6 )
= 10.93*10^6- 9.7*10^6
Step 3:
=(10.93-9.7)*10^6
=1.23*10^6
Answer:
B. segment AG is congruent to segment OL
Step-by-step explanation:
