Question

q3. subtract the following polynomials.
(a) $(-2a^2 + a - 1) - (a^2 - 3a + 2)$
(i) $-3a^2 - 4a + 3$
(ii) $-3a^2 + 4a - 3$
(iii) $-2a^2 + a - 1$

(b) $(5a + 4) - (5a + 3)$
(i) $10a + 7$
(ii) $1$
(iii) $a - 1$

Explanation:

Step1: Expand the subtraction

$(-2a^2 + a - 1) - (a^2 - 3a + 2) = -2a^2 + a - 1 - a^2 + 3a - 2$

Step2: Combine like terms

$(-2a^2 - a^2) + (a + 3a) + (-1 - 2) = -3a^2 + 4a - 3$

Step3: Solve part (b)

$(5a + 4) - (5a + 3) = 5a + 4 - 5a - 3 = 1$

Answer:

a) (ii) $-3a^2 + 4a - 3$
b) (ii) $1$