Question

simplyfy using an identity (m^2 - 5) (m^2+3)

Answer 1

(m^2-5)(m^2+3)

m^2(m^2+3)-5(m^2+3)

m^4+3m^2-5m^2-15

m^4-2m^2-15

hope it will help you.......!

Answer 2

Question:

Simplify using an identity:

$({m}^{2} - 5)( {m}^{2} + 3)$

_________________

Solution:

Here we will use this identity: (x+a)(x+b) = $x^{2} + (a+b)x + ab$

In this identity, the values are:

$x = {m}^{2}$

a = -5

b = 3

On substituting the values given in the identity,

$( {m}^{2} + ( - 5))( {m}^{2} + 3)$

So,

$( {m}^{2} - 5)( {m}^{2} + 3) = ({m}^{2}) ^{2} + ( - 5 + 3) {m}^{2} + ( - 5) \times 3$

${m}^{4} + ( - 2) {m}^{2} + ( - 15)$

${m}^{4} - 2 {m}^{2} - 15$

_________________

Final answer:

Hence the simplified form of (m²-5)(m²+3) is m⁴-2m²-15.