Question
On adding a monomial _____________ to - 2x + 4y2 + z, the resulting expression becomes a binomial.
✓
Answer
On adding a monomial 2x or –4y2 or –z to - 2x + 4y2 + z, the resulting expression becomes a binomial.
Solution:
We can add 2x, -4y2 and -z to the expression to make it binomial.
⇒ 2x + (-2x + 4y2 + z) = 4y2 + z
⇒ -4y2 + (-2x + 4y2 + z) = -2x + z
⇒ -z + (-2x + 4y2 + z) = -2x + 4y2
Hence, on adding a monomial 2x or -4y2 or - z to -2x + 4y2 + z, the resulting expression becomes a binomial.
Solution:
We can add 2x, -4y2 and -z to the expression to make it binomial.
⇒ 2x + (-2x + 4y2 + z) = 4y2 + z
⇒ -4y2 + (-2x + 4y2 + z) = -2x + z
⇒ -z + (-2x + 4y2 + z) = -2x + 4y2
Hence, on adding a monomial 2x or -4y2 or - z to -2x + 4y2 + 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
A triangular pyramid has __________ faces, __________ edges and __________vertices.
To find area, any side of parallelogram can be chosen as __________ of the parallelogram.
$(-3) \times(-7)=(-7) \times(-3)$ represents………..property of integers for multiplication. (commutative. associative, distributive)
→If P is a point in the interior of $\triangle\text{ABC}$ then fill in the blanks with > or < or =.
PA + PB AB
→PA + PB AB
Range of a data having observations $11. 18, 3, 6, 4, 7, 5$ is $…………. (3. 18. 15)$
→A rectangle has……….line/s of symmetry. $(0. 1. 2)$
→Fill in the box with the correct symbol out of $>, <$, and = $\frac{5}{-11} \square \frac{-5}{11}$
→The area of a rectangle with length $15 \ cm$ and breadth $12 \ cm$ is…………$cm ^2. (27, 54, 180)$
→$(\dots)+\Big(\frac{-7}{5}\Big)=\frac{-2}{3}$
→A plane surface of a solid enclosed by edges is called __________ .