Q.2 (i) Identify the terms and their factors in the following expressions show the terms and factors by tree diagrams.

(a) x – 3

(b) \( 1 + x + x^2\)

(c) \( y – y^3\)

(d)\( 5xy^2 + 7x^2y \)

(e) \(-ab + 2b^2 – 3a^2 \)

(a) x – 3

(b) \( 1 + x + x^2\)

(c) \( y – y^3\)

(d)\( 5xy^2 + 7x^2y \)

(e) \(-ab + 2b^2 – 3a^2 \)

(a) Expression: ( x-3 )

Term I = x

Term II = -3

(b) Expression: \( 1 + x + x^2\)

Term I = 1

Term II = x

Term III = \( x^2 \) = x × x

(c) Expression: \( y – y^3\)

Term I = y

Term II = \( -y^3 \) = -y × -y ×-y

(d) Expression: \( 5xy^2 + 7x^2y \)

Term I = \(5xy^2 \) = 5×x×y×y

Term II = \( 7x^2y \) = 7× x × x × y

(e) Expression: \(-ab + 2b^2 – 3a^2 \)

Term I = -ab = -a × b

Term II = \( 2b^2 \) = 2 × b × b

Term III = \( -3a^2 \) = -3 ×a×a