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3 years ago

How to factor 8a^2-2ab-21b^2 please help:)))

1 answer:

6 0

Equation at the end of step 1 : ((8 • (a2)) - 2ab) - (3•7b2) Step 2 :Equation at the end of step 2 : (23a2 - 2ab) - (3•7b2) Step 3 :Trying to factor a multi variable polynomial :

3.1 Factoring 8a2 - 2ab - 21b2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (4a - 7b)•(2a + 3b)

Final result : (4a - 7b) • (2a + 3b)

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Rewrite using the distributive property : 45 + 9

mel-nik [20]

Answer: 9(5 + 1)

Step-by-step explanation:

Factor out the GCF (greatest common factor) of 45 and 9, which is 9.

$9\bigg(\dfrac{45}{9}+\dfrac{9}{9}\bigg)\\\\\\=\large\boxed{9(5+1)}$

5 0

3 years ago

Please help me put them in correct place

REY [17]

The inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

<h3>Writing linear inequalities </h3>

From the question, we are to match the statements with the corresponding inequalities

Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall

x ≤ 100 -5

x ≤ 95

Temperature(x) is greater than the boiling point of water (100 °C)

x > 100

John buys x chocolates worth $5 each but he has only $100 in his pocket

5x ≤ 100

Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day

x ≤ 100

and

x ≥ 1/5 × 100

x ≥ 20 ≡ 20 ≤ x

∴ 20 ≤ x ≤100

Hence, the inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Learn more on Writing inequalities here: brainly.com/question/1447311

#SPJ1

5 0

2 years ago

Suppose eded is going to burn a compact disk (cd) that will contain 1414 songs. in how many ways can eded arrange the 1414 song

ivann1987 [24]

Q6837482663t5ydajhf9sdhkjf

3 0

3 years ago

Use the distributive property to write the expression without parentheses. 3(5a+4)

Viefleur [7K]

Answer:

15a + 12

Step-by-step explanation:

3*5a=15a

3*4=12

=15a+12

3 0

3 years ago

Read 2 more answers

Which is a factor of x2 – 9x + 14? x – 9 x – 2 x + 5 x + 7

Nadya [2.5K]

Answer:

The binomial: (x-2) (second option of the list) is a factor of the given trinomial

Step-by-step explanation:

You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:

Their product "a times b" results in: "+14" (the numerical term in the initial trinomial $x^2-9x+14$ ,

and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)

Such number "a" and "b" are: "-2" and "-7".

We can see by multiplying the binomials formed with these numbers:

(x-2) and (x-7) that their product indeed renders the original trinomial:

$(x-2) (x-7)= x^2-7x-2x+14=x^2-9x+14$

therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.

The only one shown among the four possible options is then: (x-2)

7 0

3 years ago

Read 2 more answers