Question

Factorize this : (5+3p)^2 - 225
please give answer step by step ​

Answer 1

Answer:

(5+3p+15)(5+3p-15)

Step-by-step explanation:

(5+3p)^2- (15)^2

add 15 + and - both sign

(5+3p+15)(5+3p-15)

Answer 2

Given expression:- $(5+3p)^2 - 225$

As we have to factorize the expression,

We know that $225$ is the square of $15$,

So it is written as,

$(5+3p)^2 - (15)^2$

From the above expression, we see that it is in the form of $a^2-b^2$

By using the identity,

$=>a^2-b^2=(a+b)(a-b)$

So, the expression is written as

$=>(5+3p)^2 - (15)^2=(5+3p+15) (5+3p-15)$

By further simplifying it we get,

$=>(5+3p)^2 - (15)^2=(3p+20) (3p-10)$

Hence, the required solution is $(3p+20) (3p-10)$