776 Вправа 776Алгебра 8 клас Бевз 2025 · § 15 · стор. 147

776. Розклади на множники.

а) ${\displaystyle -1+4a-4a^2}$=

=${\displaystyle -(1-4a+4a^2)=}$${\displaystyle -{\left(1-2a\right)}^2}$;

б) ${\displaystyle 0,36x^2+25y^2-6xy}$=

=${\displaystyle {(0,6x)}^2-2\cdot 0,6x\cdot 5y+{\left(5y\right)}^2=}$${\displaystyle {\left(0,6x-5y\right)}^2}$;

в) ${\displaystyle 2xy-0,01x^2{y}^2-100}$=

=${\displaystyle -(0,01x^2{y}^2-2xy+100)=}$${\displaystyle -{\left(0,1xy-10\right)}^2}$;

г) ${\displaystyle 2ab-25a^2{b}^2-0,04}$=

=${\displaystyle -(25a^2{b}^2-2ab+0,04)=}$${\displaystyle -{\left(5ab-0,2\right)}^2}$.