formula for (a+b+c) square
Answers
Answer:
(a+b+c)²
Follow this, it might help.
There are three terms in the algebraic expression (a+b+c)
Square of the first term, plus square of the second, plus square of the third, plus twice the product of first and second, plus twice the product of second and third, and plus twice the product of third and first.
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca = Σa²+2Σab
The are three square terms and three product terms. The square terms are always positive. For product terms, apply the product rule of signs.
(a-b-c)² = a²+b²+c²-2ab+2bc-2ca = a²+b²+c²+2(-ab+bc-ca)
(a-b+c)² = a²+b²+c²-2ab-2bc+2ca = a²+b²+c²+2(-ab-bc+ca)
(a+b-c)² = a²+b²+c²+2ab-2bc-2ca = ?
How it is a smart way of doing? Example. Do it one step, orally.
(2x - 3y + ½z)² = 4x² + 9y² + ¼z² - 12xy - 3yz + 2xz
Answer:
(a)square+b(square)+c(square)+2ab+2bc+2ca