Տնային աշխատանք (Հանրահաշիվ)

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

բ)(x + 1)(x + 2) = x² + x + 2x + 2 = x² + 3x + 2

գ)(2 + y)(y + 3) = 2y + y² + 6 + 3y = y² + 5y + 6

դ)(a + b)(a + b) = a² + ab + ab + b² = a² + b² + 2ab

ե)(1 + x)(1 – x) = 1 — x + x — x² = 1 — x²

զ)(a – 2)(3 – a) = 3a – a² – 6 + 2a = 5a – a² — 6

է)(x – y)(x + y) = x² + xy – xy – y² =x² – y²

ը)(a – b)(a – b) = a² – ab – ab 

թ)(2a + b)(a + 2b) = 2a² + 4ab + ab + 2b² = 2a² + 5ab + 2b²

ժ)(3x + 2y)(3x + 2y) = 9x² + 6xy + 6xy + 4y² = 9x² + 12xy + 4y²

ա)(5m + 7y)(2n + 4m) = 10mn + 20m² + 14n² + 28mn = 38mn +20m² + 14n²

բ)(12a + b)(3a + 5b) = 36a² + 60ab + 3ab + 5b² = 36a² + 63ab + 5b²

գ)(2x – 3y)(2x + 3y) = 4x² + 6xy – 6xy – 9y² =  = 4x² + 9y²

դ)(5m – 2n)(3n – 5m) = 15mn – 25m² – 6n² – 10mn =

ե)(-а – b)(2a – 3b) = -2a² + 3ab – 2ab + 3b² = -2a² + ab + 3b²

զ)(-7x – 4y)(-5x + 7y) = -35x² – 49xy + 20xy – 28y² = -35x² – 29xy – 28y²

է)(a² + b²)(a² + b²) = a⁴ + a²b² + a²b² + b⁴ = a⁴ + 2a²b² + b⁴

ը)(mn³ – m²)(m – 1) = m²n³ – mn³ – m³ + m²

թ)(2x² – y²)(y² + 2x³) = 2x²y² + 4x⁵ – y⁴ + 2x³y²