Question

Factorise 25p^2 + 30p + 9
With the steps please

Answer 1

Answer:

Complete solutions is stated in the picture

Answer 2

Answer: The answer of the given question 25p² + 30p +9   is  ( 5p + 3 )².

Step-by-step explanation:

25p² + 30p +9

1. Multiply the coefficient of the first term by the constant

⇒ 25 × 9 = 225

2. Find factors of 225 whose sum will be equal to the middle term that is 30 .

we can take 15× 15 = 225 , as 15+ 15 = 30

⇒25p² + 30p +9

We can write it as

⇒ 25p²+ 15 p +15p +9

⇒(25p²+ 15p) +( 15p +9)

now take 5p common from first bracket and 3 from second one.

⇒ 5p ( 5p + 3 ) + 3  ( 5p + 3 )

⇒  ( 5p + 3 ) ( 5p + 3 )

⇒ ( 5p + 3 )²

The answer of the given question is ( 5p + 3 )²

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