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Expand and simplify 𝑦(4𝑦+3)+4(2𝑦+5)y(4y+3)+4(2y+5)

Question

Expand and simplify 𝑦(4𝑦+3)+4(2𝑦+5)y(4y+3)+4(2y+5)

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Solution 1

Sure, let's expand and simplify the expression step by step.

  1. Distribute 𝑦 in the first bracket and 4 in the second bracket:

    𝑦 * 4𝑦 + 𝑦 * 3 + 4 * 2𝑦 + 4 * 5

  2. Multiply:

    4𝑦^2 + 3𝑦 + 8𝑦 + 20

  3. Combine like terms:

    4𝑦^2 + 11𝑦 + 20

So, the expanded and simplified form of 𝑦(4𝑦+3)+4(2𝑦+5) is 4𝑦^2 + 11𝑦 + 20.

Solution 2

Sure, let's expand and simplify the expression step by step.

  1. Distribute 𝑦 in the first bracket and 4 in the second bracket:

    𝑦 * 4𝑦 + 𝑦 * 3 + 4 * 2𝑦 + 4 * 5

  2. Multiply:

    4𝑦^2 + 3𝑦 + 8𝑦 + 20

  3. Combine like terms:

    4𝑦^2 + 11𝑦 + 20

So, the simplified form of the expression 𝑦(4𝑦+3)+4(2𝑦+5) is 4𝑦^2 + 11𝑦 + 20.

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