Math, asked by riddhi1612, 11 months ago

factorise the following:p²+8p+16​

Answers

Answered by rajsingh24
38

Answer:

hey mate your answer is.....

Step-by-step explanation:

:p²+8p+16

p(p+2)+8(p+2)

(p+2)(p+8).

hope it's helps....

Answered by pulakmath007
3

\displaystyle \sf{  {p}^{2}   + 8p + 16 = (p + 4)(p + 4)}

Given :

The expression p² + 8p + 16

To find :

To factorise the expression

Formula :

(a + b)² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is p² + 8p + 16

Step 2 of 2 :

Factorise the expression

We use the formula (a + b)² = a² + 2ab + b²

Thus we get

\displaystyle \sf{  {p}^{2}   + 8p + 16 }

\displaystyle \sf{  =  {(p)}^{2}   + 2 \times p  \times 4+  {(4)}^{2}  }

\displaystyle \sf{   = {(p + 4)}^{2}  }

\displaystyle \sf{  = (p + 4)(p + 4)}

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