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Use the distributive property to multiply. (2x+5)(x^(2)+2x-4)

Use the distributive property to multiply.\newline(2x+5)(x2+2x−4) (2 x+5)\left(x^{2}+2 x-4\right)

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Find the focus or directrix of a parabolaright chevron icon

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Q. Use the distributive property to multiply.\newline(2x+5)(x2+2x−4) (2 x+5)\left(x^{2}+2 x-4\right)
  1. Apply Distributive Property: We will apply the distributive property, also known as the FOIL method (First, Outer, Inner, Last), to multiply the binomial (2x+5)(2x+5) by each term in the trinomial (x2+2x−4)(x^2+2x-4). First, we multiply the first term of the binomial by each term of the trinomial: 2x×x2=2x32x \times x^2 = 2x^3 2x×2x=4x22x \times 2x = 4x^2 2x×(−4)=−8x2x \times (-4) = -8x
  2. Multiply Terms: Next, we multiply the second term of the binomial by each term of the trinomial:\newline5×x2=5x25 \times x^2 = 5x^2\newline5×2x=10x5 \times 2x = 10x\newline5×(−4)=−205 \times (-4) = -20
  3. Combine Like Terms: Now, we combine like terms from the products we obtained in the previous steps: \newline2x3+(4x2+5x2)+(−8x+10x)−202x^3 + (4x^2 + 5x^2) + (-8x + 10x) - 20\newline2x3+9x2+2x−202x^3 + 9x^2 + 2x - 20

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