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3 years ago

Factorise the given question: 3p^-7p-6

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

(p−3)⋅(3p+2)

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(3p2 - 7p) - 6

STEP 2 :

Trying to factor by splitting the middle term

2.1 Factoring 3p2-7p-6

The first term is, 3p2 its coefficient is 3 .

The middle term is, -7p its coefficient is -7 .

The last term, "the constant", is -6

Step-1 : Multiply the coefficient of the first term by the constant 3 • -6 = -18

Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -7 .

-18 + 1 = -17

-9 +2 = -7 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 2

3p2 - 9p + 2p - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

3p • (p-3)

Add up the last 2 terms, pulling out common factors :

2 • (p-3)

Step-5 : Add up the four terms of step 4 :

(3p+2) • (p-3)

Which is the desired factorization

Final result :

(p - 3) • (3p + 2)

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Which expressions are equivalent to 5(-2k-3)+2k

bulgar [2K]

Answer:

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Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

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3 years ago

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jarptica [38.1K]

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3 years ago

A2+3b−12<br> a=6<br> and b=2<br><br> answer plsss

ICE Princess25 [194]

(6×2)+(3×2)-12

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2 years ago

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Step-by-step explanation:

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3 years ago

Complete each statement in the steps to solve x2 – 6x – 7 = 0 using the process of completing the square. Isolate the constant b

Tomtit [17]

"Isolate the constant by adding 7 to both sides of the equation."
This step separates the non-squareable 7 and the squareable $x^2 - 6x$ .

"Add 9 to both sides of $x^2 - 6x = 7$ to form a perfect square trinomial while keeping the equation balanced."
After separating the non-squareable, add the number which makes the first or left side a perfect square trinomial. The formula to find the number is: $c = {\frac{b}{2} }^{2}$ .
When we plug the values: $c = { \frac{ - 6}{2} }^{2}$
Simplify: $c = {( - 3)}^{2} = 9$

"Write the trinomial $x^2 - 6x + 9$ as $(x - 3)$ squared."
When you factor $x^2 - 6x + 9$ , you will get $(x - 3) \times (x - 3)$ .

"Use the square root property of equality to get $x - 3 = ± \sqrt{16}$ ."
The 16 is coming from the part when we add 9. We needed 9 on the left side for a perfect square, but to protect the balance of the equality, we need to add 9 to the right side too. When we add 7 and 9, we got 16, and that is where it came from.

"Isolate the variable x to get solutions of -1 and 7."
To isolate x we branched the plus-minus sign:
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8 0

3 years ago

Read 2 more answers

Factorise the given question: 3p^-7p-6​

Factorise the given question: 3p^-7p-6