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)
Solution 1
Sure, let's expand and simplify the expression step by step.
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Distribute 𝑦 in the first bracket and 4 in the second bracket:
𝑦 * 4𝑦 + 𝑦 * 3 + 4 * 2𝑦 + 4 * 5
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Multiply:
4𝑦^2 + 3𝑦 + 8𝑦 + 20
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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.
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Distribute 𝑦 in the first bracket and 4 in the second bracket:
𝑦 * 4𝑦 + 𝑦 * 3 + 4 * 2𝑦 + 4 * 5
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Multiply:
4𝑦^2 + 3𝑦 + 8𝑦 + 20
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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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