IDNStudy.com, kung saan ang mga eksperto ay sumasagot sa iyong mga tanong. Hanapin ang impormasyon na kailangan mo nang mabilis at madali sa pamamagitan ng aming komprehensibo at eksaktong platform ng tanong at sagot.

How to compute mathematical problems involving Multiplying binomial and trinomial

Sagot :

To multiply a binomial by another binomial, you should multiply the two terms of the first binomial by the two terms of the second binomial using a method called foil, and then combine like terms to simplify.
Or simply use distributive property to solve it, just like on whole numbers:
(4 + 3) (3 - 4)
4 x 3 = 12
4 x -4 = -16
3 x 3 = 9
3 x -4 = -12
12 -16 +9 -12
-7
Ex.
Solve:
(4x + y)(7x - y)
+4x · +7x = 
+4x · -1y =
+1y · +7x = 
+1y · -1y =

(Find if the product is going to be + or -)

+4x · +7x = +
+4x · -1y = -
+1y · +7x = +
+1y · -1y = -

(Multiply the numerical coefficients by the other)

+4x · +7x = +28
+4x · -1y = -4
+1y · +7x = +7
+1y · -1y = -1

(Add the literal coefficients by the other)

+4x · +7x = +28x²
+4x · -1y = -4xy
+1y · +7x = +7xy
+1y · -1y = -1y²

(Write the equation ----------- form)

28x² - 4xy + 7xy - 1y²

(Simplify by combining like terms)

28x² + 3xy - y² 
is the answer.

Same method is applied on trinomials, and multinomials.