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