Given x = 5, y = 3, and z = −6, (x + y − z)(y + z) = ? (June 2022 - E26)

Correct answer: A. -42.
To find the value of (𝑥 + 𝑦 − 𝑧)(𝑦 + 𝑧) ( x + y − z)(y + z) given 𝑥 = 5,y = 3, and z = -6 we substitute these values into the expression and then calculate:
(𝑥 + 𝑦 − 𝑧)(𝑦 + 𝑧) = (5 + 3 −( −6))(3 +( −6))
= (5+3+6)(3−6)
= (8+6)(−3)
= -42

Therefore,(𝑥 + 𝑦 − 𝑧)(𝑦 + 𝑧) = -42, which corresponds to option A.