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

Simplify : 6a^(2)+3ab+5b^(2)-2ab-b^(2)+2a^(2)+4ab+2b^(2)-a^(2) .

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

Prove the following : |{:(2ab,a^(2),b^(2)),(a^(2),b^(2),2ab),(b^(2),2ab,a^(2)):}|=-(a^(3)+b^(3))^(2) .

Using properties of determinants prove that |(2ab,a^(2),b^(2)),(a^(2),b^(2),2ab),(b^(2),2ab,a^(2))|=-(a^(3)+b^(3))^(2) .

(5x + 2y) ( 5x - 2y) can be simplified using the identity. a. (x +b) ^(2) = a ^(2) + 2 ab + b ^(2) b. (x -b) ^(2) = a ^(2) - 2 ab + b ^(2) c. (a +b)(a -b) = a ^(2) - b ^(2) d. none

(a-b) "_________" = a ^(2) - 2 ab + b ^(2)

Factorise the using the identity a ^(2) + 2 ab + b ^(2) = (a + b) ^(2) a ^(2) x ^(2) + 2 ab xy + b ^(2) y ^(2)