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4 years ago

(a+b)(a^2+ab+b^2) multiply polynomial

Mathematics

1 answer:

Bas_tet [7]4 years ago

7 0

Answer:

$\large\boxed{(a+b)(a^2+ab+b^2)=a^3+2a^2b+2ab^2+b^3}$

Step-by-step explanation:

Use <em>FOIL</em>: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

$(a+b)(a^2+ab+b^2)\\\\=(a)(a^2)+(a)(ab)+(a)(b^2)+(b)(a^2)+(b)(ab)+(b)(b^2)\\\\=a^3+a^2b+ab^2+a^2b+ab^2+b^3\qquad\text{combine like terms}\\\\=a^3+(a^2b+a^2b)+(ab^2+ab^2)+b^3\\\\=a^3+2a^2b+2ab^2+b^3$

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Prove ΔPAB is isosceles.

Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If $PX\cong PY,$ then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

$\angle 1\cong \angle 2$

and

$m\angle 1=m\angle 2$

Angles 1 and 3 are supplementary, so

$m\angle 3=180^{\circ}-m\angle 1$

Angles 2 and 4 are supplementary, so

$m\angle 4=180^{\circ}-m\angle 2$

By substitution property,

$m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3$

Hence,

$\angle 3\cong \angle 4$

Consider triangles APX and BPY. In these triangles:

$PX\cong PY$ - given;
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Congruent triangles have congruent corresponding sides, then

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4 years ago

Which list contains only values equivalent to 3/10

bekas [8.4K]

Answer:

Step-by-step explanation:

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3 years ago

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Your grocery bill before taxes was $265.24. You have to pay 7.3% sales tax. How much is your total grocery bill?

tamaranim1 [39]

Answer:

$284.60

Step-by-step explanation:

7.3% of $265.24 = 19.36252,

So the tax is $19.36.

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3 years ago

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HELP

Lunna [17]

Answer:

x=-1

Step-by-step explanation:

The diagram shows vertical line.

This line passes through the points (-1,0), (-1,2), (-1,4), (-1,-5) and so on.

All these points have x-coordinate x = -1 and y-coordinate can take an arbitrary real value.

So, the equation of the line is x=-1

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4 years ago

Anja represents the inequality startfraction 4 minus g over 8 endfraction less-than-or-equal-to negative 15 with the phrase "the

Thepotemich [5.8K]

Anja’s phrase should have ended with “less than –15”, not “at least –15”.

Given statement:

Anja represents the inequality (4-g)/8 <-15

With the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”

Let the number be g.

“the quotient of the difference of 4 and a number and 8" translated to (4-g/8)

"at least" means : <

“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to (4-g)/8 <-15

Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.

Learn more about Inequality on:

brainly.com/question/24372553

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2 years ago