Factor completely. 100-140x+49x^2

(10 - 7x)²

Step-by-step explanation:

Note that this expression is a perfect square of the form

(a - bx)² = a² - 2abx + b²x²

Compare 100 - 140x + 49x² to the above

a² = 100 ⇒ a = = 10

b² = 49 ⇒ b = = 7

and - 2ab = - 2 × 10 × 7 = - 140, thus

100 - 140x + 49x² = (10 - 7x)² ← in factored form

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step-by-step explanation:

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