Question

Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7 y (Negative 4 x 5).

Answer 1

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a \times b + a \times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression

The given expression is $-28xy + 35y$

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

$-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)$

Thus,

The expression which is equivalent to the given expression is given by

Option D: $7y(-4x + 5)$

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