Answer :

(i)


x (x + 7) + 4 (x + 7)


= x2 + 7x + 4x + 28


= x2 + 11x + 28


(ii)


x (x + 4) – 11 (x + 4)


= x2 + 4x – 11x – 44


= x2 – 7x - 44


(iii)


x (x – 5) + 7 (x – 5)


= x2 – 5x + 7x – 35


= x2 + 2x - 35


(iv)


x (x – 2) – 3 (x – 2)


= x2 – 2x – 3x + 6


= x2 – 5x + 6


(v)


y2 (y2 – 3) – 4 (y2 – 3)


= y4 – 3y2 – 4y2 + 12


= y4 – 7y2 + 12


(vi)


x (x + ) + (x + )


= x2 + + +


= x2 + + + 1


= x2 + + 1


(vii)


3x (3x + 11) + 5 (3x + 11)


= 9x2 + 33x + 15x + 55


= 9x2 + 48x + 55


(viii)


2x2 (2x2 – 5) – 3 (2x2 – 5)


= 4x4 – 10x2 – 6x2 + 15


= 4x4 – 16x2 + 15


(ix)


z2 (z2 – 3) + 2 (z2 – 3)


= z4 – 3z2 + 2z2 – 6


= z4 – z2 - 6


(x)


3x (2x – 4y) – 4y (2x – 4y)


= 6x2 – 12xy – 8xy + 16y2


= 6x2 – 20xy + 16y2


(xi)


3x2 (3x2 – 3xy) – 4xy (3x2 – 3xy)


= 9x4 – 9x3y – 12x3y + 12x2y2


= 9x4 – 21x3y + 12x2y2


(xii)


x (x + ) + 5 (x + )


= x2 + + 5x + 1


= x2 + x + 1


(xiii)


z (z + ) + (z + )


= z2 + z + z +


= z2 + z + z + 1


= z2 + z + 1


(xiv)


x2 (x2 + 9) + 4 (x2 + 9)


= x4 + 9x2 + 4x2 + 36


= x4 + 13x2 + 36


(xv)


y2 (y2 + 6) + 12 (y2 + 6)


= y4 + 6y2 + 12y2 + 72


= y4 + 18y2 + 72


(xvi) (y2 + ) (y2 - )


y2 (y2 - ) + (y2 - )


= y4 - y2 + y2 – 2


= y4 - y2 - 2


(xvii)


p2 (p2 - ) + 16 (p2 - )


= p4 p2 + 16p2 – 4


= p4 - p2 - 4


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