S.chand class 6 Mathematics Chapter 14 Exercise 14B

 Exercise 14B

Question 1

1. Subtract:

(i) $3 x$ from $5 x$

(ii) $-9 x y z$ from $7 x y z$

(iii) $-7 a$ from $-3 a$

(iv) $4 b^{2}$ from $-6 b^{2}$

(v) $\frac{-2}{3} p^{3}$ from $\frac{1}{3} p^{3}$

(vi) $3(a-b-c)$ from $-4(a-b-c)$

2. Subtract:

(i) $-5 x^{2} y$ from $9 x^{2} y$

(ii) $-9 y^{2}$ from $3 x^{2}$

(iii) $3 m-8 n+5 p$ from $7 m+5 n-3 p$

3. Subtract as indicated.

(i) $\left(x^{2}\right)-(-x)^{2}$

(ii) $\left(-8 a^{2} b\right)-\left(-8 a^{2} b\right)$

(iii) $(4 p+q)-(p-q)$

(iv) $\left(7-x+x^{2}\right)-\left(x^{2}+6-3 x\right)$

4.Subtract the following.

(i) $\begin{aligned}&6 x+8 y \\&2 x+6 y \\&\hline\end{aligned}$

(ii) $\begin{array}{r}p-3 q \\4 p-5 q \\\hline\end{array}$

(iii) $\begin{array}{r} a^{2}+b^{2}\\2 a^{2}-3 b^{2}\\ \hline$

(iv) $\begin{aligned}&8 x^{2}+x y-4 y^{2} \\&3 x^{2}-3 x y+y^{2}\\ \hline \end{aligned}$

5.Take away:

(i) $4 x^{2} y-8$ from $7 x^{2} y-3$

(ii) $2 y^{2}+y z-2 z^{2}$ from $9 y^{2}-3 z^{2}$

6. Subtract:

(i) $x^{2}-3 x y+y^{2}$ from $4 x y-3 x^{2}-2 y^{2}$

(ii) $1-p+p^{2}$ from $p^{2}+p-1$

Multiple Choice Question (MCQ)

Tick (✔) the correct option.

7.What should be added to $4 c^{2}-3 b^{2}+1$ to get $a^{2}+b^{2}+c^{2}$ ?

(a) $-a^{2}-4 b^{2}+3 c^{2}+1$

(b) $a^{2}+4 b^{2}-3 c^{2}-1$

(c) $-a^{2}-4 b^{2}-3 c^{2}-1$

(d) $a^{2}-4 b^{2}+3 c^{2}-1$