Expand and simplify (2x^2+3)(4x+5)-8x(x^2-2)

Mathematics

1 answer:

andriy [413]2 years ago

6 0

Answer:

The simplified form of the given expression is $10x^2 + 28x + 15$

Step-by-step explanation:

Here, the given expression is: $(2x^2+3)(4x+5)-8x(x^2-2)$

By Distributive Property:

A(B+C) = AB + AC

Now, expanding the given expression.

We get : $(2x^2+3)(4x+5)-8x(x^2-2) = 2x^2(4x+5) + 3(4x+5)- 8x(x^2) + 8x(2)\\=2x^2(4x) + 2x^2(5) + 3(4x) + 3(5) - 8x^3 +16x\\=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x\\=10x^2 + 28x + 15$

Hence, the simplified form of the given expression is $10x^2 + 28x + 15$

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