Question

(p - 4 ) - (p - 4)² + 12 - 3p

Answer 1

Step-by-step explanation:

= (p - 4 ) - (p - 4)² + 12 - 3p

= p - 4 - (p² + 16 - 8p) + 12 - 3p

= p - 4 - p² - 16 + 8p + 12 - 3p

= 6p - p² - 8

= -p² + 6p - 8

Answer 2

$(p - 4 ) - (p - 4)² + 12 - 3p$

$p-4-{(p-4)}^{2}+12-3p$

$(p-3p)+(-4+12)-{(p-4)}^{2}$

$-2p+8-{(p-4)}^{2}$

$-2p+8-({p}^{2}-2p\times 4+{4}^{2})$

$-2p+8-{p}^{2}+2p\times 4-{4}^{2}$

$-2p+8-{p}^{2}+2p\times 4-16$

$-2p+8-{p}^{2}+8p-16$

$(-2p+8p)+(8-16)-{p}^{2}$

$6p-8-{p}^{2}$