Sign In
Ask Question
Mathematics
Collier
17 September, 12:49
Factorize completely the expression 5x2-8ax-4a2
+1
Answers (
1
)
Laney Lang
17 September, 16:31
0
hello : the factorize completely is : (5x+2a) (x-2a)
Step-by-step explanation:
the first solution:
note : Ax² + Bx + C = A (x - x1) (x - x2) if : Δ ≥ 0 and : Δ = B² - 4AC
x1 = ( - B - √Δ) / 2A x2 = ( - B + √Δ) / 2A
in this execice : A = 5 B = - 8a C = - 4a²
calculate Δ = (-8a) ² - 4 (5) (-4a²) = 64a² + 80a² = 144a² = (12a) ²
x1 = (8a - 12a) / 10 = - 4a/10
x1 = - 2a/5
x2 = (8a + 12a) / 10 = 20a/10
x2 = 2a
put x1 and x2 in expression A (x - x1) (x - x2)
you have : 5 (x + 2a/5) (x - 2a) = (5x+2a) (x-2a)
verify : (5x+2a) (x-2a) = 5x² - 10ax + 2ax - 4a² = 5x² - 8ax - 4a²
the second solution:
5x² - 8ax - 4a² = 5x² + (-10ax + 2ax) - 4a² because
-8ax = -10ax + 2ax
5x² - 8ax - 4a² = (5x² + - 10ax) + (2ax - 4a²)
5x (x - 2a) + 2a (x - 2a) = (x - 2a) (5x+2a)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Factorize completely the expression 5x2-8ax-4a2 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
Three times the 1st number plus the 2nd number plus twice the 3rd is 5. If three times the 2nd number is subtracted from the sum of the 1st and three times the 3rd number, the result is 2.
Answers (1)
Each student in me beardons art class
Answers (1)
Which pair of expressions is equivalent? 27x + 45y and 7 (9x + 7y) 2x + 18y and 2 (x + 9y) 2 (15x + y) and 30x + 15y 10 (4x + 5y) and 20x + 10y
Answers (1)
What is 15469-427 equal to
Answers (2)
What is the equation of the line with qn x-intercept of - 1 and a y-intercept of 2?
Answers (1)
New Questions in Mathematics
If x=2 y=9 and z=-5 what is 2 (y+z) (y+z) 3 and (x+y) 2
Answers (1)
Which shows a way to take apart 8? 9-9=0 or 9-8=1 or 8-1=7 or 8+8=16 which one
Answers (1)
4 batches of punch each batch has 16 fluid oz lemon juice and 4 pints of orange juice if each serving is 1 cup how many servings did it make all together
Answers (1)
Apply the law of syllogism to write a new statement based on the following: A → B: If it rains, then football practice will be canceled. B → C: If football practice is canceled, then Patrick will go to the cinema.
Answers (1)
If tan 0 = - 3/8 which expression is equivalent to cot0?
Answers (1)
Home
»
Mathematics
» Factorize completely the expression 5x2-8ax-4a2
Sign In
Sign Up
Forgot Password?