Question

1. The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.

Answer 1

1.  3,-10

2. 10x + y

3. 2x - 3y

Answer 2

Answer:

1)

        3 , -10

2)

          10x + y

3)

            2x-3y

Step-by-step explanation:

Ques 1)

We are given an algebraic expression as:

               $11x^2-12x-10$

The following expression has three terms:

$11x^2,-12x\ and\ -10$

and the constant term is the term in which the variable is of exponent 0.

Hence, here we have the constant term as: $-10$

Ques 2)

We are given a expression in terms of x and y by:

$7x+3x+2y-y$

when on simplifying this expression we have:

$=(7+3)x+(2-1)y\\\\=10x+y$

Ques 3)

The expression is given by:

$\dfrac{1}{2}(4x-6y)$

On using the distributive property i.e.

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

we have:

$\dfrac{1}{2}(4x-6y)=\dfrac{1}{2}\times 4x+\dfrac{1}{2}\times (-6y)\\\\i.e.\\\\\dfrac{1}{2}(4x-6y)=2x-3y$