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Calculate: 5a^2b-2a^2b-3a^2b+8a^2b...

Calculate: `5a^2b-2a^2b-3a^2b+8a^2b`

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Let's calculate mentally :- 5a^2b - 2a^2b - 3a^2b+ 8a^2b

If D is the mid-point of the side B C of triangle A B C and A D is perpendicular to A C , then 3b^2=a^2-c ^2 (b) 3a^2=b^2 3c^2 b^2=a^2-c^2 (d) a^2+b^2=5c^2

Let's express the following in the product from using formula. (a^2 + b^2) (a^2 - b^2) (a^4 + b^4) (a^8 + b^8)

Add: 2a^2b+5b^2a+7 , 3a^2b-2b^2a+6 , 8a^2b-b^2a+9 ,

Let's add : 2a^2b + 5b^2a + 7, 3a^2b - 2b^2a +6, 8a^2b - b^2a + 9

Let us simplify using formula:- (a-2b)(a^2 + 2ab + 4b^2) (a^3 + 8b^3)

Prove that |[2ab,a^2,b^2],[a^2,b^2,2ab],[b^2,2ab,a^2]|=-(a^3+b^3)^2 .

Simplify the following: 6a-2b-ab-(3a+b-ab)+2ab-b+a

2a^(3)-a^(2)b-b^(3)

Divide (-90a^2b^2+80a^3b^3-50a^4b^4) by 10a^3b