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Multiply: (3x^2+y^2)b y\ (2x^2+3y^2) ...

Multiply: `(3x^2+y^2)b y\ (2x^2+3y^2)` `(3/5x+1/2y)b y\ (5/6x+4y)`

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AI Generated Solution

To solve the problem of multiplying the algebraic expressions, we will break it down into two parts as given in the question. ### Part 1: Multiply \( (3x^2 + y^2)(2x^2 + 3y^2) \) 1. **Distribute \(3x^2\)**: \[ 3x^2 \cdot 2x^2 + 3x^2 \cdot 3y^2 = 6x^4 + 9x^2y^2 \] ...
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Knowledge Check

  • If x:y=5:6, then (3x^2 - 2y^2) : (y^2 - x^2) is

    A
    `7:6`
    B
    `11:3`
    C
    `3:11`
    D
    `6:7`

  • Factorise 25x^(2) - 30xy + 9y^(2) . The following steps are involved in solving the above problem . Arrange them in sequential order . (A) (5x - 3y)^(2) " " [ because a^(2) - 2b + b^(2) = (a-b)^(2)] (B) (5x)^(2) - 30xy + (3y)^(2) = (5x)^(2) - 2(5x)(3y) + (3y)^(2) (C) (5x - 3y) (5x - 3y)

    A
    ABC
    B
    BCA
    C
    ACB
    D
    BAC

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