Math, asked by pretendyt87, 20 days ago

Factorise (3p -q)² -4(3p - q) + 4 then its value is
(3p + q +2)²
(3p + q -2)²
(3p - q + 2)²
(3p - q -2)²​

Answers

Answered by runikarmakar53
0

Answer:

9

2

6

+

2

1

2

+

4

+

4

Step-by-step explanation:

How to solve your problem

(

3

)

2

4

(

3

)

+

4

(3p-q)^{2}-4(3p-q)+4

(3p−q)2−4(3p−q)+4

Simplify

1

Expand the square

(

3

)

2

4

(

3

)

+

4

\left(3p-q\right)^{2}-4(3p-q)+4

(3p−q)2−4(3p−q)+4

(

3

)

(

3

)

4

(

3

)

+

4

(3p-q)(3p-q)-4(3p-q)+4

(3p−q)(3p−q)−4(3p−q)+4

2

Distribute

(

3

)

(

3

)

4

(

3

)

+

4

{\color{#c92786}{(3p-q)(3p-q)}}-4(3p-q)+4

(3p−q)(3p−q)−4(3p−q)+4

3

(

3

)

+

(

3

)

(

)

4

(

3

)

+

4

{\color{#c92786}{3p(3p-q)+(3p-q)\left(-q\right)}}-4(3p-q)+4

3p(3p−q)+(3p−q)(−q)−4(3p−q)+4

3

Distribute

3

(

3

)

+

(

3

)

(

)

4

(

3

)

+

4

{\color{#c92786}{3p(3p-q)}}+(3p-q)\left(-q\right)-4(3p-q)+4

3p(3p−q)+(3p−q)(−q)−4(3p−q)+4

9

2

3

+

(

3

)

(

)

4

(

3

)

+

4

{\color{#c92786}{9p^{2}-3pq}}+(3p-q)\left(-q\right)-4(3p-q)+4

9p2−3pq+(3p−q)(−q)−4(3p−q)+4

4

Re-order terms so that constants are on the left

9

2

3

+

(

3

)

(

)

4

(

3

)

+

4

9p^{2}-3pq+(3p-q)\left(-q\right)-4(3p-q)+4

9p2−3pq+(3p−q)(−q)−4(3p−q)+4

9

2

3

(

3

)

4

(

3

)

+

4

9p^{2}-3pq-(3p-q) \cdot q-4(3p-q)+4

9p2−3pq−(3p−q)⋅q−4(3p−q)+4

5

Distribute

9

2

3

(

3

)

4

(

3

)

+

4

9p^{2}-3pq-{\color{#c92786}{(3p-q) \cdot q}}-4(3p-q)+4

9p2−3pq−(3p−q)⋅q−4(3p−q)+4

9

2

3

(

3

+

(

)

)

4

(

3

)

+

4

9p^{2}-3pq-\left({\color{#c92786}{3pq+q\left(-q\right)}}\right)-4(3p-q)+4

9p2−3pq−(3pq+q(−q))−4(3p−q)+4

6

Re-order terms so that constants are on the left

9

2

3

(

3

+

(

)

)

4

(

3

)

+

4

9p^{2}-3pq-\left(3pq+q\left(-q\right)\right)-4(3p-q)+4

9p2−3pq−(3pq+q(−q))−4(3p−q)+4

9

2

3

(

3

)

4

(

3

)

+

4

9p^{2}-3pq-\left(3pq-qq\right)-4(3p-q)+4

9p2−3pq−(3pq−qq)−4(3p−q)+4

7

Combine exponents

9

2

3

(

3

)

4

(

3

)

+

4

9p^{2}-3pq-\left(3pq-{\color{#c92786}{qq}}\right)-4(3p-q)+4

9p2−3pq−(3pq−qq)−4(3p−q)+4

9

2

3

(

3

2

)

4

(

3

)

+

4

9p^{2}-3pq-\left(3pq-{\color{#c92786}{q^{2}}}\right)-4(3p-q)+4

9p2−3pq−(3pq−q2)−4(3p−q)+4

8

Distribute

9

2

3

(

3

2

)

4

(

3

)

+

4

9p^{2}-3pq-\left(3pq-q^{2}\right)-4(3p-q)+4

9p2−3pq−(3pq−q2)−4(3p−q)+4

9

2

3

3

+

2

4

(

3

)

+

4

9p^{2}-3pq-3pq+q^{2}-4(3p-q)+4

9p2−3pq−3pq+q2−4(3p−q)+4

9

Combine like terms

9

2

3

3

+

2

4

(

3

)

+

4

9p^{2}{\color{#c92786}{-3pq}}{\color{#c92786}{-3pq}}+q^{2}-4(3p-q)+4

9p2−3pq−3pq+q2−4(3p−q)+4

9

2

6

+

2

4

(

3

)

+

4

9p^{2}{\color{#c92786}{-6pq}}+q^{2}-4(3p-q)+4

9p2−6pq+q2−4(3p−q)+4

10

Distribute

9

2

6

+

2

4

(

3

)

+

4

9p^{2}-6pq+q^{2}{\color{#c92786}{-4(3p-q)}}+4

9p2−6pq+q2−4(3p−q)+4

9

2

6

+

2

1

2

+

4

+

4

Your answer is

(3p-q+2)

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