Subtract:
$(i)$. $-5y^2$ from $y^2$
$(ii)$. $6xy$ from $-12xy$
$(iii)$. $(a-b)$ from $(a+b)$
$(iv)$. $a(b-5)$ from $b(5-a)$
$(v)$. $-m^2+5mn$ from $4m^2-3mn+8$
$(vi)$. $-x^2+10x-5$ from $5x-10$
$(vii)$. $5a^2-7ab+5b^{2}$ from $3ab-2a^2-2b^2$
$(viii)$. $4pq-5q^2-3p^2$ from $5p^2+3q^2-pq$
To do: To subtract:
$(i)$. $-5y^2$ from $y^2$
$(ii)$. $6xy$ from $-12xy$
$(iii)$. $(a-b)$ from $(a+b)$
$(iv)$. $a(b-5)$ from $b(5-a)$
$(v)$. $-m^2+5mn$ from $4m^2-3mn+8$
$(vi)$. $-x^2+10x-5$ from $5x-10$
$(vii)$. $5a^2-7ab+5b^{2}$ from $3ab-2a^2-2b^2$
$(viii)$. $4pq-5q^2-3p^2$ from $5p^2+3q^2-pq$
Solution:
i) $-5y^2$ from $4y^2$
$=y^{2\ }-(-5y^2)$
$=y^2+5y^{2\ }=\ 6y^2$
ii) $6xy$ from $-12xy$
$=-12xy-(6xy)$
$=-18xy$
iii) $(a-b)$ from $(a+b)$
$=(a+b)-(a-b)$
$=2b$
iv) $a(b-5)$ from $b(5-a)$
$=b(5-a)-a(b-5)$
$=5b-ab-ab+5a$
$=5a+5b-2ab$
v) $-m^2+5mn$ from $4m^2-3mn+8$
$=(4m^2-3mn+8)-(-m^2+5mn)$
$=4m^2+m^2-3mn-5m+8$
$=5m^2-8mn+8$
vi) $-x^2+10x-5$ from $5x-10$
$=(5x-10)-(-x^2+10x-5)$
$=x^{2}+5x-10x-10+5$
$=x^{2}-5x-5$
vii) $5a^2-7ab+5b^{2}$ from $3ab-2a^2-2b^2$
$=(3ab-2a^2-2b^2)-(5a^2-7ab+5b^2)$
$=3ab+7ab-2a^2-5a^2-2b^2-5b^2$
$=10ab-7a^2-7b^2$
viii) $4pq-5q^2-3p^2$ from $5p^2+3q^2-pq$
$=(5p^{2}+3q^2-pq)-(4pq-5q^2-3p^2)$
$=5p^{2}+3p^2+3q^2+5q^2-pq-4pq$
$=8p^{2}+8q^2-5pq$
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