Question

(v) (y + 2) (y - 3)(y + 8) (y + 3) + 56​

Answer 1

Answer:

2

+3y+2y+6)(y

2

+8y−3y−24)+56

(y {}^{2} + 5y + 6) \: (y { }^{2} + 5y - 24) + 56(y

2

+5y+6)(y

2

+5y−24)+56

y {}^{2} + 5y = x \: takingy

2

+5y=xtaking

\begin{lgathered}(x + 6) \: (x - 24) + 56 \\ \\ x(x - 24) + 6(x - 24) + 56 \\ \\ x {}^{2} - 24x + 6x - 144 + 56 \\ \\ x {}^{2} - 18x - 144 + 56 \\ \\ x {}^{2} - 18x - 88 \\ \\ x {}^{2} - 22x - 4x - 88 \\ \\ x(x - 22) + 4(x - 22) \\ \\ (x - 22) \: (x + 4) \\ \\ \\ substituting \: the \: value \: of \: x \: with \: y {}^{2} + 5y \\ \\ \\ (y {}^{2} + 5y - 22) \: (y {}^{2} + 5y + 4) \\ \\ (y {}^{2} + 5y - 22) \: (y {}^{2} + 4y + y + 4) \\ \\ (y {}^{2} - 5y - 22) \: {y(y + 4) + 1(y + 4)} \\ \\ (y {}^{2} - 5y - 22) \: (y + 4) \: (y + 1) \: \: are \: the \: solution \:\end{lgathered}

(x+6)(x−24)+56