# 9th Class Math Chapter 4 Algebraic Expressions & Algebraic Formulas Short Questions Answer

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## 9th Class Math Chapter 4 Algebraic Expressions & Algebraic Formulas Short Questions Answer

Solution:

- (
*x*+ 1/*x*)² = (3)²

*x*² + 1/*x*² + 2 = 9

*x*² + 1/*x*² = 7

- (
*x*² + 1/*x*²)² = (7)²

*x*⁴ + 1/*x*⁴ = 47

Solution:

- (
*x*– 1/*x*)² = (2)²

*x*² + 1/*x*² – 2 = 4

*x*² + 1/*x*² = 4 + 2

*x*² + 1/*x*² = 6

- (
*x*² + 1/*x*²)² = (6)²

*x*⁴ + 1/*x*⁴ + 2 = 36

*x*⁴ + 1/*x*⁴ = 36 – 2

*x*⁴ + 1/*x*⁴ = 34

Solution:

*x* + *y* = 5, *x* – *y* = 3

4*xy* = (*x* + *y*)² – (*x* – *y*)²

= (5)² – (3)²

*xy* = 4

Now,

*x*³ + *y*³ = (*x* + *y*)³ – 3*xy*(*x* + *y*)

= (5)³– 3(4)(5)

= 125 – 60

= 65

Solution:

1/p = 1/2+√3 x 2–√3/2–√3

= 2–√3

- p + 1/p = 2 + √3 + 2 – √3 = 4
- p – 1/p = 2 + √3 – (2 – √3) = 2√3
- = p² + 1/p² = (p + 1/p)² – 2 = (4)² – 2 = 16 – 2 = 14
- = p² – 1/p² = (p + 1/p)(p – 1/p) = 4(2√3) = 8(√3)

1/q = 1/√5+2 x √5–2/√5–2 = √5 – 2

- q + 1/q = √5 + 2 + √5 – 2 = 2√5
- q – 1/q = √5 + 2 – (√5 – 2) = 4
- q² + 1/q² = (q + 1/q)² – 2 = (2√5)² – 2 = 20 – 2 = 18
- q² – 1/q² = (q + 1/q)(q – 1/q) = (2√5)(4) = 8√5