Question
On adding a monomial _____________ to $-2 x+4 y^2+z$, the resulting expression becomes a binomial.
✓
Answer
On adding a monomial $\underline{2 x or -4 y^2 or -z}$ to $-2 x+4 y^2+z$, the resulting expression becomes a binomial.
Solution:
We can add $2 x,-4 y^2$ and $-z$ to the expression to make it binomial.
$\Rightarrow 2 x+\left(-2 x+4 y^2+z\right)=4 y^2+z$
$\Rightarrow-4 y^2+\left(-2 x+4 y^2+z\right)=-2 x+z$
$\Rightarrow-z+\left(-2 x+4 y^2+z\right)=-2 x+4 y^2$
Hence, on adding a monomial $2 x$ or $-4 y^2$ or $-z$ to $-2 x+4 y^2+z$, the resulting expression becomes a binomial.
Solution:
We can add $2 x,-4 y^2$ and $-z$ to the expression to make it binomial.
$\Rightarrow 2 x+\left(-2 x+4 y^2+z\right)=4 y^2+z$
$\Rightarrow-4 y^2+\left(-2 x+4 y^2+z\right)=-2 x+z$
$\Rightarrow-z+\left(-2 x+4 y^2+z\right)=-2 x+4 y^2$
Hence, on adding a monomial $2 x$ or $-4 y^2$ or $-z$ to $-2 x+4 y^2+z$, the resulting expression becomes a binomial.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Check whether the value given in the brackets is a solution to the given equation or not.
$n+5=19(n=1)$
→$n+5=19(n=1)$
Write $"T"$ for true and $"F"$ for false for the folllowing: $0.25 \times 0.8 = 0.2$
→Find the values of following polynomials at $m = 1, n = -1$ and $p = 2:$
$m + n + p$
→$m + n + p$
$\triangle\text{ABC}$ is isosceles with $AB = AC. AD$ is the altitude from $A$ on $BC$.
Is $\triangle\text{ABD}\cong\triangle\text{ACD}?$
→Is $\triangle\text{ABD}\cong\triangle\text{ACD}?$
Write $1.56$ as a per cent.
→Identify multiple lines of symmetry, if any, in the following figures:
Express the following as a ratio:
36%
36%
Using laws of exponents, simplify and write the answer in exponential form.
$2^5 \times 5^5$
→$2^5 \times 5^5$
The solid shapes are of two-dimensional.
When $a = 0, b = –1$, find the value of the given expression: $a^2+a b+2$
→