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natulia [17]
3 years ago
7

Which of the following is the correct expansion of (y + 1)(y2 + 2y + 3)?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Use distributive property:

(a + b)(c + d) = ac + ad + bc + bd

(y + 1)(y² + 2y + 3) = (y)(y²) + (y)(2y) + (y)(3) + (1)(y²) + (1)(2y) + (1)(3)

= y³ + 2y² + 3y + y² + 2y + 3 = y³ + (2y² + y²) + (3y + 2y) + 3

= y³ + 3y² + 5y + 3

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Step-by-step explanation:

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<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

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  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

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The standard form equation can be written ...

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<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

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