Question

select a suitable identity and find the following products (2b-a) (2b+c)

Answer 1

Answer:

(2b-a)(2b+c)=4b2+2b(c-a)-ac

Step-by-step explanation:

Answer 2

The products $(2b-a)(2b+c)=x^{2} +(c-a)x-ac$.

Step-by-step explanation:

We have,

$(2b-a)(2b+c)$

To find, the products $(2b-a)(2b+c)=?$

Using identity,

$(x+A)(x-B)=x^{2} +(A-B)x-AB$

∴ $(2b+c)(2b-a)$

Here, x = 2b, A = c and B = a

∴ $(2b+c)(2b-a)$

$=x^{2} +(c-a)x-ca$

$=x^{2} +(c-a)x-ac$

Hence, the products $(2b-a)(2b+c)=x^{2} +(c-a)x-ac$.