Question

find the product using suitable identity (4+5x) (4+5x)

Answer 1

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Answer 2

The product of the terms is 25x²+40x+16

Step-by-step explanation:

Given:

The equation = (4+5x) (4+5x)

To find:

The product of the equation

Solution:

The equation is given as  (4+5x) (4+5x)

But this equation when simplified we get (4+5x)² as a new term

We can use one suitable identity for this term

(a+b)²= a²+2ab+b²

For the term (4+5x)² , a= 4 & b=5x

Substituting all the values

$(4+5x)\² = (4)\²+2 (4) (5x)+ (5x)\²$

∴ $(4+5x)\² = 16+(8) (5x)+ 25x^{2}$

∴ $(4+5x)\² = 16+ 40x+ 25x^{2}$

In the standard form, the equation will be

$(4+5x)\² = 25x^{2}+40x+16$

Thus, the product of the equation using a suitable identity is 25x²+40x+16.

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