Դասարանական աշխատանք (Հանրահաշիվ)

ա)(a + )(a + 1)(a + 1) = (a + 1)(a² + a + a + 1) = a³ + 2a + a + a² + 2a + 1 = a³ + 3a + 3a + 1

բ)(x – 1)(x – 1)(x – 1) = (x – 1)(x² – x – x + 1) = x³ – x² – x² + x – x² + x + x – 1 = x³ – 3x² + 3x – 1

գ)(a + b)(a – b)(a + b) = (a + b)(a² + ab – ab – b²) = a³ + a²b – a²b – ab² + a²b + ab² — ab² – b³ = a³ + a²b – 3ab² – b³

դ)(m – n)(m – n)(m + n) = (m – n)(m² + mn — mn – n²) = m³ + m²n — m²n – mn² – mn² — mn² + mn² + n³ = m³ – m²n – 3mn² + n³

ե)(a + b + c)(a + 1) = a² + a + ab + b + ac + c

զ)(a – b – c)(a – 1) = a² — a — ab + b — ac + c

ա)-(a + b)(a + b) = -(a² + ab + ba + b²) = -(a² + 2ab + b²) = — a² – 2ab – b²

բ)-(x – y)(x + y) = -(x² + xy – xy – y²) = (-x²  – y²) = x²  + y²

գ)-(x – y)(x – y) = -(x² – xy – xy + y²) = x² – y²

ա) (8x-3)(4x+5)=32×2+40x-12x-15=32×2+28x-15

գ)(4a – 3) * 2a – 3 = (8a² – 12a + 6a + 9) = 8a²— 18a+ 9