Question

factorise 10x^2-14x^3+18x^4

Answer 1

$10x {}^{2} - 14x {}^{3} + 18x {}^{4}$

Factor out 2x^2 from the expression

$2x {}^{2} (5 - 7x + 9x {}^{2} )$

Answer 2

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$\huge{\underline{\sf{\orange{Required\:Answer:}}}}$

$:\implies\: \sf{10x^2=2 \times 5 \times x \times x}$

$:\implies\:\sf{18x^3=2 \times 3 \times 3 \times x\times x\times x}$

$:\implies\: \sf{14x^4=2 \times 7 \times x \times x\times x\times x}$

Now,

$:\implies\: \sf{10x^2-18x^3+14x^4}$

$:\implies\:\sf{(2 \times x \times x \times 5)-(2 \times x \times x \times 3 \times 3 \times x)}$

$:\implies\:\sf{+ (2\times x \times x \times 7 \times x\times x)}$

$:\implies\:\: \sf{2\times x \times x \times [(5-(3 \times 3 \times x) +(7\times x \times x)] }$

$:\implies\:\: \sf{2x^2 \times (5-9x+7x^2) }$

$:\implies\:\: \sf{2x^2(7x^2-9x +5)}$

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