Solve by Factoring 3b^4−6b^2+27b

Mathematics

1 answer:

Ganezh [65]2 years ago

8 0

Answer:

Step-by-step explanation:

hello :

3b^4−6b^2+27b = 3b(b^3-2b+9)

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(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

2 years ago

X ÷ -6 = 10 what is x?

Ostrovityanka [42]

Answer:

x=-60

Step-by-step explanation:

convert to x over -6 =10

multiply both side by -6, write as x(-6) over -6= 10(-6)

simplify making x=-60

3 0

2 years ago

Read 2 more answers

The area of a square poster is 31 square inches. find the length of one side of the poster. Explain

kobusy [5.1K]

Answer:

5.57

Step-by-step explanation:

In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation $\sqrt{a}$ . The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes $\sqrt{31}$ <em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.