3 years ago

H(w)=-5x^2+80 to factored form

Mathematics

1 answer:

algol133 years ago

3 0

Answer:

- 5(x - 4)(x + 4)

Step-by-step explanation:

Given

- 5x² + 80 ← factor out - 5 from each term

= - 5(x² - 16) ← x² - 16 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 16 = x² - 4² = (x - 4)(x + 4)

Thus

- 5x² + 80 = - 5(x - 4)(x + 4) ← in factored form

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