Ответ:
[tex]2) \ \ (2u-1)(2u+5)\\\\4) \ \ (3t-2)(3t+1)\\\\5) \ \ (2u+5)(u+2)\\\\6) \ \ (4x-3)(x+5)[/tex]
Пошаговое объяснение:
[tex]2) \ \ 4u^2+8u-5=4u^2-2u+10u-5=2u(2u-1)+5(2u-1)=(2u-1)(2u+5)[/tex]
[tex]4) \ \ 9t^2-3t-2=9t^2+3t-6t-2=3t(3t+1)-2(3t+1)=(3t-2)(3t+1)[/tex]
[tex]5) \ \ 2u^2+9u+10=2u^2+4u+5u+10=2u(u+2)+5(u+2)=(2u+5)(u+2)[/tex]
[tex]6) \ \ 4x^2+17x-15=4x^2+20x-3x-15=4x(x+5)-3(x+5)=(4x-3)(x+5)[/tex]
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Answers & Comments
Ответ:
[tex]2) \ \ (2u-1)(2u+5)\\\\4) \ \ (3t-2)(3t+1)\\\\5) \ \ (2u+5)(u+2)\\\\6) \ \ (4x-3)(x+5)[/tex]
Пошаговое объяснение:
[tex]2) \ \ 4u^2+8u-5=4u^2-2u+10u-5=2u(2u-1)+5(2u-1)=(2u-1)(2u+5)[/tex]
[tex]4) \ \ 9t^2-3t-2=9t^2+3t-6t-2=3t(3t+1)-2(3t+1)=(3t-2)(3t+1)[/tex]
[tex]5) \ \ 2u^2+9u+10=2u^2+4u+5u+10=2u(u+2)+5(u+2)=(2u+5)(u+2)[/tex]
[tex]6) \ \ 4x^2+17x-15=4x^2+20x-3x-15=4x(x+5)-3(x+5)=(4x-3)(x+5)[/tex]