Question

Calculeaza folosind formula potrivita.
$(2x - 1) {}^{2}$
$(2x + 3) {}^{2}$
$(4x + 1) {}^{2}$
$(2x - 1)(2x + 1)$
$(3x + 2)(3x - 2)$
$(x - \sqrt{3) {}^{2} }$
$(x \sqrt{2 -} 1) {}^{2}$
$(2 x + \sqrt{2) {}^{2} }$
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Answer 1

Răspuns:

(2x - 1)² = (2x)² - 2×2x×1 + 1² = 4x² - 4x + 1

(2x + 3)² = (2x)² + 2×2x×3 + 3² = 4x² + 12x + 9

(4x + 1)² = (4x)² + 2×4x×1 + 1² = 16x² + 8x + 1

(2x - 1)(2x + 1) = (2x)² - 1² = 4x² - 1

(3x + 2)(3x - 2) = (3x)² - 2² = 9x² - 4

(x - √3)² = x² - 2×x×√3 + √3² = x² - 2x√3 + 3

(x√2 - 1)² = (x√2)² - 2×x√2×1 + 1² = 2x² - 2x√2 + 1

(2x + √2)² = (2x)² + 2×2x×√2 + (√2)² = 4x² + 4x√2 + 2

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