4 x 7 = 28
49 x 13 = 637
28/637
=4/91
Answer:
- (x-y^2)(x^2 +xy^2 +y^4)
- (a^2 +b)(a^4 -a^2b +b^2)
- (m^3-n)(m^6 +m^3n +n^2)
- (p+k^3)(p^2 -pk^3 +k^6)
- (a^2+b^3)(a^4 -a^2b^3 +b^6)
- (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)
Step-by-step explanation:
In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:
- a^3 +b^3 = (a +b)(a^2 -ab +b^2)
- a^3 -b^3 = (a -b)(a^2 +ab +b^2)
1. a=x, b=y^2. Use the formula for the difference.
2. a^2 ⇒ a, b = b. Use the formula for the sum.
3. a=m^3, b=n. Use the formula for the difference.
4. a=p b=k^3. Use the formula for the sum.
5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.
6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.
Answer:
y = 3x - 10
Step-by-step explanation:
Assuming you require the equation of the parallel line through (2, - 4)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 24 ← is in slope- intercept form
with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = 3x - 10 ← equation of parallel line
Answer:
Step-by-step explanation:
Putting value of n = 3 in equation
(3)2 + 3 + 5
9 + 8
= 17
