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Chapter 6: Q. 385 (page 635)

In the following exercise, factor completely using the perfect square trinomials pattern.

40x2+360x+810

Short Answer

Expert verified

The factorisation of the given polynomial is

40x2+360x+810=10(2x+9)2

Step by step solution

01

Step 1. Given information

The given polynomial is:

40x2+360x+810

02

Step 2.  Factorise the polynomial 

We know that,

a+b2=a2+2ab+b2

For the polynomial 40x2+360x+810

Taking 10out as common, we get:

10(4x2+36x+81)

Now, simplifying, we get:

10[(2x)2+2脳2x+9+92]10(2x+9)2

The factorisation of the given polynomial is40x2+360x+810=10(2x+9)2

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