Math, asked by priyaseban3, 9 months ago

factorise x2-21x+90by splitting the middle term​

Answers

Answered by Hardikagarwal3347
1

Answer:

(x-6)(x-15)

Step-by-step explanation:

x2-21x+90

=x2-15x-6x+90

=x(x-15)-6(x-15)

=(x-6)(x-15)

PLS MARK BRAINLIEST

Answered by Anonymous
3

Answer:

 \boxed{\sf (x - 6)(x - 15)}

Step-by-step explanation:

 \sf Factor  \: the  \: following:  \\  \sf \implies  {x}^{2}  - 21x + 90 \\  \\  \sf The \:  factors  \: of \:  90 \:  that \:  sum \:  to \:   - 21  \\ \sf are \:   - 6  \: and  \:  - 15. \\ \\  \sf So,  \\   \sf \implies {x}^{2}  + ( - 6 - 15)x + 90 \\  \\  \sf \implies   {x}^{2}  - 6x - 15x + 90 \\  \\  \sf \implies x(x - 6) - 15(x - 6)  \\  \\ \sf \implies (x - 6)(x - 15)

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