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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) \(-ab + 2b^2 – 3a^2 \)

Answer :

(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