Jose Paul Solutions for Chapter: Multiplication and Division, Exercise 4: EXERCISE 7.4

Factorising $a^3+125b^3+75a{b}^2+15a^{2}b$, we get, $(a+5b{)}^k$. Find $k$.

Factorising $125p^3-1-75p^2+15p$, we get, $(5p-k{)}^3$. Find $k$.

Expanding $(a-b+c{)}^2$, we get, $a^2+b^2+c^2-2ab-kbc+2ca$. Find $k$.

Expanding ${\left(a-b-c\right)}^2$, we get, $a^2+b^2+c^2-2ab+2bc-kca$. Find $k$.

Expanding ${\left(5x+y+2z\right)}^2$, we get, $25x^2+y^2+4z^2+10xy+4yz+kxz$. Find $k$.

Expanding $(2x-y+3z{)}^2$, we get, $4x^2+y^2+9z^2-4xy+kxz-6yz$. Find $k$.

Expanding ${\left(5a+b-3c\right)}^2$, we get, $25a^2+b^2+9c^2+10ab-30ac-kbc$. Find $k$.

Expanding ${\left(-a+3b+7c\right)}^2$, we get, $a^2+9b^2+k{c}^2-6ab-14ac+42bc$. Find $k$.