Question

7.Factorise the following expressions.
(i) z² - 4z - 77
(ii) x²+ 25x + 144
(iii) x² + 5x - 104
(iv)49x²-64
(v) x²-1-2y-y²
(vi) 4(x - y)² - 12(x - y) +9​

Answer 1

Answer:

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Step-by-step explanation:

(i) z² - 4z - 77

z² -(11-7)z -77

z² -11z +7z -77

z(z-11)+7(z-11)

z-11=0 ; z+7=0

z=11 ; z=-7

(ii) x²+ 25x + 144

x²+(16+9)x + 144

x²+16x+9x + 144

x(x+16)+9(x+16)

x+16=0 ; x+9=0

x=-16 ; x=-9

(iii) x² + 5x - 104

x² +(13-8)x - 104

x² +13x-8x - 104

x(x+13)-8(x+13)

x-8=0 ; x+13=0

x=8 ; x=-13