Math, asked by khushi563924, 20 hours ago

solve using mid term splitting​

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Answers

Answered by summyp
1

Answer:

p

2

+6p−16

Factor the expression by grouping. First, the expression needs to be rewritten as p

2

+ap+bp−16. To find a and b, set up a system to be solved.

a+b=6

ab=1(−16)=−16

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −16.

−1,16

−2,8

−4,4

Calculate the sum for each pair.

−1+16=15

−2+8=6

−4+4=0

The solution is the pair that gives sum 6.

a=−2

b=8

Rewrite p

2

+6p−16 as (p

2

−2p)+(8p−16).

(p

2

−2p)+(8p−16)

Factor out p in the first and 8 in the second group.

p(p−2)+8(p−2)

Factor out common term p−2 by using distributive property.

(p−2)(p+8)

Step-by-step explanation:

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