This expression matches the identity template a square – 2ab + b square. The middle variable terms cancel out completely when multiplying p/4 and 4/p, leaving only the constant integer minus 2.
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This six-term polynomial matches the expanded three-term identity. The squared bases are m/3, k/2, and 3n, which merge into the single grouped factor (m/3 + k/2 + 3n) square.
The remaining balance after x days is b(x) = 600 minus 15x. The balance becomes zero after 40 days. This represents linear decay because the balance decreases by the same 15 rupees every day.
In the algebraic expression 200l + 160w + 50lw, the terms are 200l, 160w and 50lw. The variables are l and w. The coefficients are 200, 160 and 50. There is no constant term in this expression.
NCERT Class 9 Ganita Manjari Maths Chapter 4 “Exploring Algebraic Identities” explains algebraic identities and their applications. It covers expansion formulas, factorisation concepts and how identities help simplify expressions and solve mathematical problems efficiently.