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Номер 983, по учебнику Макарычев, Миндюк, 7 класс

 

16-9*(p+3)^2=16-9*(p^2+6p+9)=16-9p^2+54p+81=-9p^2+54p-65

9-25*(4-x)^2=9-25*(16-8x+x^2)=9-400+200x-25x^2=-25x^2+200x-391

1-36*(3y-1)^2=1-9y^2-6y+1=9y^2-6y+2

4-9*(a+b)^2=4-9*(a^2+2ab+b^2)=4-9a^2+18ab+9b^2

1)...=4²-[3(p+3)]²=(4-3(p+3) )*(4+3(p+3) )= (-5-3p)*(13+3p)

2)...=3²- [5(4-x) ]²=( 3-5(4-x) )*(3+5(4-x) )=(5x-17)*(23-5x)

3)...=1²-[ 6(3y-1)]²= ( 1-6(3y-1) )*(1+6(3y-1) )=(7-18y)*(18y-5)

4)...=2²-[3(a+b)]²=(2-3(a+b)*(2+3(a+b) )=(2-3a-3b)*(2+3a+3b)