Question

16p^4-q^4 factories ​

Answer 1

$\huge\sf{Solution:-}$

$\sf 16p^4-q^4$

$\sf (4p^2)^2-(q^2)^2$

$\sf by\: using \:identity:-$

$\sf \red{(a-b)(a+b)=a^2-b^2}$

$\sf (4p^2-q^2)(4p^2+q^2)$

Answer 2

♣ɢɪᴠᴇɴ:–

$\large \tt{16p^4-q^4}$

♣ᴛᴏ ғɪɴᴅ:–

Factories the given equation

♣sᴏʟᴜᴛɪᴏɴ:–

$\qquad \quad : \longrightarrow\tt{16 {p}^{4} - 81 {q}^{4}}$

$\qquad \quad: \longrightarrow \tt{{(4 {p}^{2}) }^{2} - {(9 {q}^{2}) }^{2}}$

We will use one identity,that is :–

$\quad \bull \quad \tt{ {a}^{2} - {b}^{2} = (a - b)(a + b)}$

$\qquad \quad : \longrightarrow\tt{(4 {p}^{2} - 9 {q}^{2} )(4 {p}^{2} + 9 {y}^{2} )}$

$\qquad \quad : \longrightarrow \tt{ {((2 {p}^{2}) - (3 {q}^{2} ))}(4 {p}^{2} + 9 {q}^{2} )}$

$\qquad \quad : \longrightarrow \underline{\boxed{\tt{ (2p - 3q)(2p - 3q)(4 {p}^{2} + 9 {q}^{2})}} }$