Ta có: \(b-c=2\) \(\Rightarrow c-b=-2\)

Mặt khác: \(B^2=c\left(a-b\right)-b\left(a-c\right)=ac-bc-ab+bc=a\left(c-b\right)=-50\cdot\left(-2\right)=100\)

\(\Rightarrow B=\pm10\)

P=3a-2b\2a+5 + 3b-a\b-5

=2a+a-2b\2a-5 + -a+2b+b\b-5

=2a+(a-2b)\2a-5 + -(a-2b)+b

=2a+5\2a-5 + -5+b\b-5

=-(2a-5)\(2a-5) + (b-5)\(b-5)

=-1+1=0

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\(B^2=c\left(a-b\right)-b\left(a-c\right)\\ B^2=ca-cb-ba+bc\\ B^2=\left(ca-ba\right)+\left(bc-bc\right)\\ B^2=a\left(c-b\right)\\ B=\sqrt{a\left(c-b\right)}\)

Làm tiếp khi thêm đề:

\(b-c=2\Rightarrow c-b=-2\)

\(B=\sqrt{a\left(c-b\right)}=\sqrt{\left(-50\right)\cdot\left(-2\right)}=\sqrt{100}=10\)

Giải:

B²=c(a-b)-b(a-c)

B²=ac-bc-ab-bc

B²=(ac-ab)-(bc-bc)

B²=a(c-b)

B=√a(c-b)

B=√-50.(-2)

B=√100

B=10

Chúc bạn học tốt!

Câu 5:

\(D\left(2\right)=21a+9b-6a-4b\)

\(D\left(2\right)=\left(21a-6a\right)+\left(9b-4b\right)\)

\(D\left(2\right)=15a+5b\)

Mà: \(3a+b=18\Rightarrow b=18-3b\)

\(\Rightarrow D\left(2\right)=15a+5\left(18-3b\right)\)

\(D\left(2\right)=15a+90-15a\)

\(D\left(2\right)=90\)

Vậy: ...

Câu 4:

\(D\left(1\right)=4a+10b-b+2a\)

\(D\left(1\right)=\left(4a+2a\right)+\left(10b-b\right)\)

\(D\left(1\right)=6a+9b\)

Mà: \(2a+3b=12\Rightarrow a=\dfrac{12-3b}{2}\)

\(\Rightarrow D\left(1\right)=6\left(\dfrac{12-3b}{2}\right)+9b\)

\(D\left(1\right)=\dfrac{6\left(12-3b\right)}{2}+9b\)

\(D\left(1\right)=3\left(12-3b\right)+9b\)

\(D\left(1\right)=36-9b+9b\)

\(D\left(1\right)=36\)

Vậy: ...

Câu 3:

Sửa đề: \(C=5a-4b+7a-8b\)

\(C=\left(5a+7a\right)-\left(4b+8b\right)\)

\(C=12a-12b\)

\(C=12\left(a-b\right)\)

\(C=12\cdot8\)

\(C=96\)

Vậy: ...

4:

D=6a+9b=3(2a+3b)=36

5: 

D=15a+5b=5(3a+b)=90