Find the product, using suitable properties: (-57) x (-19) + 57

By Ritesh|Updated : November 10th, 2022

The product, (-57) x (-19) + 57 using suitable properties is 1140. Utilize the distributive law of multiplication to simplify:

The distributive law of multiplication over addition states that:

a x b + a x c = a x (b + c)

The given expression is (-57) x (-19) + 57

Then, the required product is:

(-57) x (-19) + 57 = (57) x (19) + 57 [(-a) (-b) = a x b]

(-57) x (-19) + 57 = 57 x 19 + 57 x 1 [1 x n = n]

(-57) x (-19) + 57 = 57 x (19 + 1) [a x b + a x c = a x (b + c)]

(-57) x (-19) + 57 = 57 x 20

In simplification we get:

(-57) x (-19) + 57 = 1140

Distributive property

Use the distributive property of algebra to multiply a single value by two or more values enclosed in a set of parentheses. According to the distributive Property, when a factor is multiplied by the sum or addition of two terms, each of the two numbers must first be multiplied by the factor before adding them together. This quality can be expressed as the following symbol:

A ( B+ C) = AB + AC

Where A, B, and C are three different values.

Expressions involving the multiplication of a number by a sum or difference can be made simpler thanks to the distributive principle of multiplication. The product of a sum or difference of a number is equal to the total or difference of the products, according to this property. In algebra, two arithmetic operations can have the distributive property:

  1. Distributive Property of Multiplication
  2. Distributive Property of Division

Summary:

Find the product, using suitable properties: (-57) x (-19) + 57

The product, (-57) x (-19) + 57 using suitable properties is 1140. The distributive law of multiplication over addition is used to find the product.

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