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Alexus [3.1K]
3 years ago
11

Factor by grouping. a2 + ab – 56b2

Mathematics
2 answers:
Alinara [238K]3 years ago
8 0
A^2 + ab - 56b^2

Factor by grouping is typically done when you have 4 terms not 3.
This is a trinomial that is factorable as is.
If it has to be done by grouping I can do that also. Let me know.

What are the factors of -56 that add up to 1?
8 * (-7) = -56
8 + (-7) = 1

(a + 8b)(a - 7b)
goblinko [34]3 years ago
7 0

a^2 + ab -56b^2
= a^2 +8ab -7ab -56b^2
= a (a+8b) -7b ( a+ 8b)
= (a-7b)(a+8b).
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Factorize using identities (i) 1-64x³+48x²-12x
enot [183]

Answer:

(1 - 4x)³

Step-by-step explanation:

The first 2 terms are a difference of cubes and factor in general as

a³ - b³ = (a - b)(a² + ab + b²), thus

1 - 64x³

= 1³ - (4x)³

= (1 - 4x)(1 + 4x + 16x²)

Thus

1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms

= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)

= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms

= (1 - 4x)(1 + 4x + 16x² - 12x)

= (1 - 4x)(1 - 8x + 16x²) ← perfect square

= (1 - 4x)(1 - 4x)²

= (1 - 4x)³  ← in factored form

6 0
3 years ago
(−8p ^3 +9p ^2q −5pq ^2) + (8p ^3 − pq + 5q ^2)
wariber [46]

Answer:

9p^2q-5pq^2-pq+5q^2      

Step-by-step explanation:

6 0
3 years ago
What is 4 1/8 +2 1/3
andreyandreev [35.5K]

Answer: 6 11/24

Step-by-step explanation:

33/8 + 2 1/3

= 33/8 + 7/3

= 155/24

= 6 11/24

6 0
3 years ago
What is the percent increase from 50 to 92
STALIN [3.7K]
Hey!

To find the percentage increase, you must use this formula:

{(50 - 92 / 50] × 100 = 84%

So, the percent increase from 50 to 92 is: 84%.
3 0
3 years ago
Read 2 more answers
Please help as fast as possible.
ankoles [38]

Answer:

B 7.3

Step-by-step explanation:

1/4 times 24 is 24/4 which is 6 plus 1.3 is 7.3 your answer is B

Hope I helped :]

3 0
2 years ago
Read 2 more answers
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