Ex 8.4, 3 (i) - Chapter 8 Class 8 Algebraic Expressions and Identities

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Ex 8.4, 3 (i) - Simplify (x^2 - 5) (x + 5) + 25 - Chapter 9 Class 8 - Ex 8.4

part 2 - Ex 8.4, 3 (i) - Ex 8.4 - Serial order wise - Chapter 8 Class 8 Algebraic Expressions and Identities

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Ex 8.4, 3 Simplify. (i) (𝑥^2−5) (𝑥+5)+25Here, there are 2 expressions: 1st expression = (𝑥^2−5) (𝑥+5) 2nd expression = 25 Solving 1st expression (𝒙^𝟐−𝟓) (𝒙+𝟓) = 𝑥^2 (𝑥+5)−5(𝑥+5) = (𝑥^2 × 𝑥)+(𝑥^2 × 5)−(−5 × 𝑥)−(5 × 5) = 𝒙^𝟑+𝟓𝒙^𝟐−𝟓𝒙−𝟐𝟓 Now, our expression is (𝒙^𝟐−𝟓) (𝒙+𝟓)+𝟐𝟓 = 𝑥^3+5𝑥^2−5𝑥−25+25 = 𝒙^𝟑+𝟓𝒙^𝟐−𝟓𝒙

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