299 Вправа 299Алгебра 8 клас Бевз 2025 · § 6 · стор. 61

299. Розклади на множники.

а) ${\displaystyle 6x^2-6y^2=}$${\displaystyle 6(x^2-y^2)=}$${\displaystyle 6\left(x-y\right)\left(x+y\right)}$;

б) ${\displaystyle 5-5m^2=}$${\displaystyle 5(1-m^2)=}$${\displaystyle 5\left(1-m\right)\left(1+m\right)}$;

в) ${\displaystyle a{x}^2-a^3=}$${\displaystyle a(x^2-a^2)=}$${\displaystyle a\left(x-a\right)\left(x+a\right)}$;

г) ${\displaystyle 3x^4-12x^2=}$${\displaystyle 3x^2(x^2-4)=}$${\displaystyle 3x^2\left(x-2\right)\left(x+2\right)}$;

ґ) ${\displaystyle 20a^2-45b^2}$=

=${\displaystyle 5(4a^2-9b^2)=}$${\displaystyle 5\left(2a-3b\right)\left(2a+3b\right)}$;

д) ${\displaystyle 48x^2-75y^2}$=

=${\displaystyle 3(16x^2-25y^2)=}$${\displaystyle 3\left(4x-5y\right)\left(4x+5y\right)}$.