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ПОМОГИТЕ РЕШИТЬ! АЛГЕБРА a(2a-b)(a+b)-3a(a+b)2 Р. S. последнее число -2 означает в квадрате.

Alttynka Aytbaeva
Alttynka Aytbaeva
274
Не вздумай написать, а что же нужно сделать. А, то помогут )))
СП
Сергей Проничев
70 873
Лучший ответ
=(2a^2-ab)(a+b) - (3a^2+3ab)(a+b)=(a+b)(2a^2-ab-3a^2-3ab)=(a+b)(-a^2-4ab)= -(a+b)(a^2+4ab)=-(a^3+a^2b+4a^2b+4ab^2), если бы в конце было еще +b^3 получился бы куб суммы, а так ты уравнение неправильное написала
(2a-b/3a-3b)-(3a-4b/6b-4a) Final result : -ab + 9a + 2b2 - 9b
———————————————————
3


Step by step solution : Step 1 : 2b
Multiply —— by b
3
Multiplying exponential expressions : 1.1 b1 multiplied by b1 = b(1 + 1) = b2
Equation at the end of step 1 : b 2b2
((2a-(—•a))-3b)-((3a-———)-4a)
3 3
Step 2 : 2b2
Simplify 3a - ———
3
Rewriting the whole as an Equivalent Fraction : 2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 3 as the denominator :
3a 3a • 3
3a = —— = ——————
1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3a • 3 - (2b2) 9a - 2b2
—————————————— = ————————
3 3
Equation at the end of step 2 : b (9a-2b2)
((2a-(—•a))-3b)-(————————-4a)
3 3
Step 3 : 9a-2b2
Simplify —————— - 4a
3
Rewriting the whole as an Equivalent Fraction : 3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :
4a 4a • 3
4a = —— = ——————
1 3
Trying to factor as a Difference of Squares :
3.2 Factoring: 9a - 2b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Adding fractions that have a common denominator : 3.3 Adding up the two equivalent fractions