Question 14 MarksFind the general expansion of $(a-b)^2$ using geometry, as we did for $55^2$.AnswerselfView full question & answer→
Question 24 MarksExpand $(3 j+2 k)^2$ using both the identity and by applying the distributive property.AnswerselfView full question & answer→
Question 34 MarksUse Identity 1A to write the expressions for the following.(i) $(m+3)^2$(ii) $(6+p)^2$(Identity 1A $\quad(a+b)^2=a^2+2 a b+b^2$).AnswerselfView full question & answer→
Question 44 MarksExpand (i) (a + ab – 3b2) (4 + b), and (ii) (4y + 7) (y + 11z – 3).Answer$\text { (i) }\left(a+a b-3 b^2\right)(4+b)$$\begin{array}{l}=\left(a+a b-3 b^2\right) 4+\left(a+a b-3 b^2\right) b \\=4 a+4 a b-12 b^2+a b+a b^2-3 b^3 \\=-3 b^3-12 b^2+a b^2+4 a b+a b+4 a \\=-3 b^3-12 b^2+a b^2+5 a b+4 a\end{array}$$\begin{array}{l}\text { (ii) }(4 y+7)(y+11 z-3) \\=(4 y+7) y+(4 y+7) 11 z-(4 y+7) 3 \\=4 y^2+7 y+44 y z+77 z-(12 y+21) \\=4 y^2+7 y+44 y z+77 z-12 y-21 \\=4 y^2+7 y-12 y+44 y z+77 z-21 \\=4 y^2-5 y+44 y z+77 z-21 .\end{array}$View full question & answer→