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Factorise the expressions: (i) lx^2 + mx (ii) 7y^2 + 35Z^2

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Factorise the expressions:

(i) lx2 + mx

(ii) 7y2 + 35Z2

(iii) 3x4 + 6x3y + 9x2Z

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1 Answer

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Best answer

(i) lx2 + mx

= lx2 + mx

= l × x × x + m × x 

= x(lx + m)

(ii) 7y2 + 35z2

= 7y2+ 35z2

= 7 × y2 + 7 × 5 × z2

= 7(y2 + 5z2)

(iii) 3x4 + 6x3y + 9x2Z

= 3x4 + 6x3y + 9x2Z

= 3 × x2 × x2 + 3 × 2 × x × x2 × y + 3 × 3 × x2 × z

= 3x2 (x2 + 2xy + 3z)

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