Question

Simplify the following expressions:
(i) (x + y + z)(x + y – z)
(ii) x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5x2)
(iii) 2x2(x + 2) – 3x (x2 – 3) – 5x(x + 5)
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Answer 1

Answer:

(i) x²+y²-z²+2xy

(ii) 12x²+2x²y²-2xy²-15xy

(iii) -7x²-7x

Explanation:

(i) (x + y + z)(x + y – z)

x(x+y-z)+y(x+y-z)+z(x+y-z)

x²+xy-xz+xy+y²-yz+xz+yz-z²

x²+y²-z²+2xy

(ii) x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5x2)

2x²-12xy-2xy²+2x²y²-3xy+10x²

12x²+2x²y²-2xy²-15xy

(iii) 2x2(x + 2) – 3x (x2 – 3) – 5x(x + 5)

4x²+8x-6x²+9x-5x²-25x

-7x²-7x

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