Question

if p(m)=m³+2m²-m+10 then p(a)-p(-a) =?​

Answer 1

Answer:

p(a) - p(-a) = 2a³ - 2a

Step-by-step explanation:

We have,

p(m) = m³ + 2m² - m + 10

Then,

p(a) = (a)³ + 2(a)² - (a) + 10

p(a) = a³ + 2a² - a + 10

p(-a) = (-a)³ + 2(-a)² - (-a) + 10

p(-a) = -a³ + 2a² + a + 10

Now,

p(a) - p(-a) = (a³ + 2a² - a + 10) - (-a³ + 2a² + a + 10)

= a³ + 2a² - a + 10 + a³ - 2a² - a - 10

= 2a³ - 2a

Hence,

p(a) - p(-a) = 2a³ - 2a

Hope it helped and believing you understood it........All the best