Question

a²x³+2abx+2b²x factorise​

Answer 1

Answer:

See attachment....

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Answer 2

Factors of $\bf \: {a}^{2} {x}^{3} + 2abx^{2} + {b}^{2}x$ are $\bf x(ax + b)(ax+b)$.

Given:

Correct question:

• ${a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x$

To find:

• Factorise the polynomial.

Solution:

Step 1:

Take x common from all terms.

$\bf {a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x = x({a}^{2} {x}^{2} + 2ab x+ {b}^{2} )$

Step 2:

Factorise the polynomial by splitting the middle term.

Split the middle term.

$\bf {a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x = x({a}^{2} {x}^{2} + ab x+abx+ {b}^{2} )$

${a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x = x[ax(ax + b) + b(ax + b)]$

${a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x = x(ax + b)(ax + b)$

or

$\bf {a}^{2} {x}^{3} + 2ab {x}^{2} + {b}^{2} x = x(ax + b)^{2}$

Thus,

Factors are $\bf \: {a}^{2} {x}^{3} + 2abx^{2} + {b}^{2}x = x(ax + b)^{2}$

Learn more:

1) 2t²-t-10 factorise the following polynomial.

https://brainly.in/question/20056309

2) 25(x+y)^2-36(x-2y)^2 factorise

https://brainly.in/question/3845215

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